A ball is thrown with an initial speed Vi at an angle ¤, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/6. In terms of R and g find. (a)the time interval during which the ball is in motion (b)the ball's speed at the peak of its path (c)the initial vertical component of its velocity (d)it's initial speed and the angle ¤ (e)suppose the ball is thrown at the same initial speed found in (d) but the angle for reaching the greatest height that it can. Find this height (f)suppose the ball is thrown at the same initial speed but at the angle for reaching the greatest possible range. Find this maximum horizontal range

A ball is thrown with an initial speed Vi at an angle ¤, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/6. In terms of R and g find. (a)the time interval during which the ball is in motion (b)the ball's speed at the peak of its path (c)the initial vertical component of its velocity (d)it's initial speed and the angle ¤ (e)suppose the ball is thrown at the same initial speed found in (d) but the angle for reaching the greatest height that it can. Find this height (f)suppose the ball is thrown at the same initial speed but at the angle for reaching the greatest possible range. Find this maximum horizontal range

Name: A ball is thrown with an initial speed Vi at an angle ¤, with the hori
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A ball is thrown with an initial speed Vi at an angle ¤, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/6. In terms of R and g find. (a)the time interval during which the ball is in motion(b)the ba

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...

See similar textbooks

Related questions

Q: In a volleyball game held in school, Player A at position X serves the ball from a height of 1.3m…

Q: A stone is catapulted at time t=0, with an initial velocity of magnitude 20.6 m/s and at an angle of…

A: We know that it is moving like a projectile motion of the stone. we know that some concepts must be…

Q: A particle starts from the origin at t=0, with an initial velocity having an x component of 20m/s…

Q: (a) If the base of the building is taken to be the origin of the coordinates, with upward the…

A: a) Here the ball is initially at a height y0 from the ground. So as the origin is at the ground…

Q: A regulation volleyball court measures L = 18.0 meters in length and d = 2.43 meters in height. A…

A: Length of the volleyball court L=18 m, height of the volleyball court d=2.43 m and height from which…

Q: uestion 2: #63 In 1780, in what is now referred to as "Brady's Leap," Captain Sam Brady of the…

A: Use the equation of motion along horizontal and vertical direction to calculate the required speed…

Q: A ball is thrown into the air at 60° angle to the ground, takes a parabolic path, and is in the air…

Q: When a ball was allowed to fall from rest from height h, a second ball was thrown up from the ground…

A: The initial height of the first ball is given as h. The initial velocity of the first ball is given…

Q: Dominador, who is standing on the edge of an 80-m tall cliff facing the sea, kicks a ball…

Q: A horizontal projectile is shot with an initial velocity of 8 m/s from a height of 7.4 m above the…

Q: Which of the following statement is/are true? a. The velocity of projectile motion in maximum…

A: Choose the true Statement.

Q: The speed of a projectile in the horizontal direction is constant. O True O False

A: For a projectile the only force acting on it is gravitational force and it is acting downward in…

Q: Given a parametric parabolic trajectory of x = 56t y = 76t - 4.9t? where x and y are measured in…

Q: A stone is thrown with an initial velocity of 2000 cm/s at an angle 15° above the horizontal,…

A: Angle, A = 15 degree velocity, v = 2000 cm/s = 20 m/s

Q: A fireworks show is choreographed to have two shells cross paths at a height of 167 feet and explode…

A: Given: The maximum height is 204 ft. The height at which both cross each other is 167 ft. The angle…

Q: A particle initially located at the origin has an acceleration of a = 1.00j m/s2 and an initial…

Q: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.…

Q: A batter hits a baseball so that it leaves the bat with an initial speed v, = 37.0 m/s at an initial…

Q: When a projectile reaches it's maximum height, which of the following statements is correct?…

Q: Consider an object on an inclined plane shown below. Which of the following statements is true…

Q: A skater is gliding along the ice at 2.2 m/s, when she undergoes an acceleration of magnitude 1.2…

A: Given information: Here, vi and vf are the initial and the final velocity of the skater, a is the…

Q: For a projectile, which of the following quantities are constant during the flight: x, y, vx , vy ,…

A: For a projectile motion of an object, we assume that air-resistance is zero. Hence, only…

Q: The position r→ of a particle moving in an xy plane is given by…

Q: in a relief operation mission involving a helicopter h distance above the ground traveling with a…

A: Given variable: horizontal velocity - vx height of helicopter - h

Q: A ball is thrown upward at an angle of 28° to the horizontal with initial velocity ? = 62.0 m/s.…

Q: Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ? ⃑ =…

Q: At t=0, a ball is thrown with an initial velocity of magnitude 15ms-1 at 75° to the horizontal…

Q: The rocket is launched at time t = 0 with r(0) = 2i - 6j+ 4k . If the initial velocity of the rocket…

A: Given, r(0) = 2i - 6j+ 4k v(0) = 4i +1j +10k a(t) =t2i + tcost j + 16e-4tk

Q: A ball is thrown with an initial velocity of (30 m/s) at an angle of (60°) above the horizontal, as…

Q: 0, y 0) 44. A projectile is launched from the point (x QC with velocity (12.0î + 49.0 j) m/s, at t =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A fireworks show is choreographed to have two shells cross paths at a height of 104 feet and explode…

A: Given Data: Height h =104' Total height is H=104+47=151'

Q: Which of the following plot represents the velocity of the projectile along the vertical axis, Vy?…

Q: A fireworks show is choreographed to have two shells cross paths at a height of 107 feet and explode…

Q: Dominador, who is standing on the edge of an 80-m tall cliff facing the sea, kicks a ball…

A: The down ward motion is taken negative. The initial position of the ball y=0 The final position of…

Q: An object is projected upward from ground level at an angle (Theta) and the air resistance is…

Q: A projectile is launched with a launch angle of 30° with respect to the horizontal direction and…

A: The variation of vertical component with time is,

Q: A tennis player hits a ball into the air with an initial velocity of 15 m/s at an angle of 50° to…

A: The initial velocity of the ball, v0=15 m/s The launch angle, θ=50° The acceleration due to…

Q: Which of the following plot represents the velocity of the projectile along the vertical axis, Vy?…

Q: A rocket flying vertically upwards is being tracked by a radar which is horizontally displaced from…

A: relation between linear and angular velocity V=ωR Relation between centripetal acceleration and…

Q: At one instant a bicyclist is 40.0 m due east of a park’s flagpole, going due south with a speed of…

A: According to company policy, only first three parts will only be answered here. Let the coordinate…

Q: An airplane in a holding pattern flies at constant altitude alonga circular path of radius 3.50 km.…

A: (a)The magnitude of the displacement airplane path is,Substitute the values,

Q: At t = 0, a particle moving in the xy plane with constant ac- celeration has a velocity of v; =…

Q: Astone is catapulted at time t-0, with an initial velority of magnitude 19.1 m/s and at an angle of…

Q: A marble is launched from the edge of a table at a angle of 45 ° up from horizontal and goes through…

A: A marble launched from an incline of 45 degrees. We are given a statement about the acceleration of…

Q: The positionr→of a particle moving in an xy plane is given…

A: Giventime, t= 2.00 sec andthe position vector as,

Concept explainers

Projectile Motion

Topic Video

Question

(b)the ball's speed at the peak of its path

(c)the initial vertical component of its velocity

(d)it's initial speed and the angle ¤

(e)suppose the ball is thrown at the same initial speed found in (d) but the angle for reaching the greatest height that it can. Find this height

(f)suppose the ball is thrown at the same initial speed but at the angle for reaching the greatest possible range. Find this maximum horizontal range

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial velocity of vi=5.00im/s. Find (a) the vector position of the particle at any time t, (b) the velocity of the particle at any time t, (c) the coordinates of the particle at t = 2.00 s, and (d) the speed of the particle at t = 2.00 s.
A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. Vo - ( mis) 7 + m/s) ? At the maximum height, the speed of the cannon ball is v= m/s and the magnitude of its acceleration is a- m/s?. The time needed to reach maximum height is t- S. The maximum height reached by the cannon ball is H= m.
An object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal. (with solutions each)a) What is the maximum height reached by the object?b) What is the total flight time (between launch and touching the ground) of the object?c) What is the horizontal range (maximum x above ground) of the object? d.) What is the magnitude of the velocity of the object just before it hits the ground?
A man stands on the roof of a 15.0 m tall building and throws a rock with a velocity of magnitude 30.0 m/s at an angle of 35° above the horizontal. You can ignore air resistance. Calculate: a)the maximum height above the roof reached by the rock. b)the magnitude of the velocity of the rock just before it strikes the ground c)the horizontal range from the base of the building to the point where the rock strikes the ground.
A ball is thrown from the edge of a cliff of height h=100 m with an initial horizontal velocity of Vy=10 m/s. a) How long does it take for the ball to reach the ground? b) How far has the ball traveled in the x direction when it hits the ground? c) What is the balls final velocity vector when it hits the ground? (Component form) d) What are the magnitude and direction of the ball's velocity when it hits the ground? (Polar form)
A zombie wolverine is launched with an initial speed v i =37.0 m/s at an initial angle theta i =53.1^ (a) Find the wolverine's position (horizontal and vertical) when t = 2.00s (b) Find the magnitude and direction of the wolverine's velocity when t = 2.00 s. (c) Find the time when the wolverine reaches the highest point of its flight, and find its height h at that point . (d) Find the horizontal range R (the horizontal distance from the starting point to the point where the wolverine hits the ground ).
An object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal. (with solutions each)a) What is the maximum height reached by the object?b) What is the total flight time (between launch and touching the ground) of the object?c) What is the horizontal range (maximum x above ground) of the object?
A ball is thrown vertically upward with an initial speed of 86 ft/sec from the base A of a cliff with H = 63 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vB. Neglect air resistance and the small horizontal motion of the ball.
An object is launched at a velocity of 17.5m/ s in a direction making an angle of 23.5° upward with the horizontal. a) What is the maximum height reached by the object? b) What is the total flight time (between launch and touching the ground) of the object? c) What is the horizontal range (maximum x above ground) of the object?
A projectile is fired from the top of a cliff of height h above the ocean below. The projectile is fired at an angle θ above the horizontal and with an initial speed υi. (a) Find a symbolic expression in terms of the variables υi, g, and θ for the time at which the projectile reaches its maximum height. (b) Using the result of part (a), find an expression for the maximum height hmax above the ocean attained by the projectile in terms of h, υi, g, and θ.
A man stands on the roof of a 15.0 m tall building and throws a rock with a velocity of magnitude 30.0 m/s at an angle of 35° above the horizontal. You can ignore air resistance. Calculate: a) the maximum height above the roof reached by the rock. the magnitude of the velocity of the rock just before it strikes the ground c) the horizontal range from the base of the building to the point where the rock strikes the ground.
A ball is shot from the ground into the air. At a height of 7.5 m, its velocity is v = 7.5i + 6.1j m/s, with i horizontal and j upward. (a) To what maximum height does the ball rise? (b) What total horizontal distance does the ball travel? What are the (c) magnitude and (d) angle (below the horizontal; give as negative) of the ball's velocity just before it hits the ground? (a) Number Units (b) Number Units (c) Number Units (d) Number Units