A stone is catapulted at timet 0, with an initial velocity of magnitude 20.6 m/s and at an angle of 43.5° above the horizontal. What are the magnitudes of the (a) horizontal and (b) vertical components of its displacement from the catapult site at t- 1.01 s? Repeat for the (c) horizontal and (d) vertical components at t 1.77 s, and for the (e) horizontal and (f) vertical components at t 5.13 s. Assume that the catapult is positioned on a plain horizontal ground. (a) Number 15.0921 Units (b) Number 14.3219 Units m (c) Number 26.4486 Units (d) Number 9.747 Units m (e) Number 76.656 Units m (f) Number -56.2088 Units

A stone is catapulted at timet 0, with an initial velocity of magnitude 20.6 m/s and at an angle of 43.5° above the horizontal. What are the magnitudes of the (a) horizontal and (b) vertical components of its displacement from the catapult site at t- 1.01 s? Repeat for the (c) horizontal and (d) vertical components at t 1.77 s, and for the (e) horizontal and (f) vertical components at t 5.13 s. Assume that the catapult is positioned on a plain horizontal ground. (a) Number 15.0921 Units (b) Number 14.3219 Units m (c) Number 26.4486 Units (d) Number 9.747 Units m (e) Number 76.656 Units m (f) Number -56.2088 Units

Name: A stone is catapulted at timet 0, with an initial velocity of magnitu
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A stone is catapulted at timet 0, with an initial velocity of magnitude 20.6 m/s and at an angle of 43.5° above the horizontal. What arethe magnitudes of the (a) horizontal and (b) vertical components of its displacement from the catapult site at t=

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

Similar questions

Inthe figure here, a ball is thrown up onto a roof, landing 4.90 s later at height h = 21.0 mabove the release level. The ball's path just before landing is angled at 8 = 51.0° with the roof. (a) Find the horizontal distance d it travels. (Hint One way is to reverse the motion, as ifitis on a video.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocity? (a) Number Unit (b) Number Unit (c) Number Unit > >
A projectile is launched with an initial speed of 30 m/s at an angle of 60° above the horizontal. What are the (a) magnitude and angle of its velocity 2.0 s after launch, (b) is the angle above or below the horizontal? (c) magnitude and angle of its velocity 5.0 s after launch, (d) is the angle above or below the horizontal?
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
In the figure here, a ball is thrown up onto a roof, landing 4.50 s later at height h = 21.0 mabove the release level. The ball's path just before landing is angled at 8= 57.0' with the roof. (a) Find the horizontal distance d it travels. (Hint One way is to reverse the motion, as ifit is on a video.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocity? 0000 1000 (a) Number Unit (b) Number Unit (c) Number Unit > > >
Given vector U=2ï+3j°and vector W=5j, , what is 3U+W? O 6i+14j O lli-9j O 6i-14j O lli+9j Next PREDE
A monkey, hanging on a tree, is at a height of 3m from the ground. Ronaldo sees it from a distance of 6m. He kicks a ball towards the monkey with an initial speed of vo m/s and with an angle 0 = 30° from the horizontal. (a) Taking unit vectors i and j as horizontal and vertical unit vectors, respectively: Find the initial velocity vo such that the ball can reach the monkey (note: the money does not move). (b) Find the time t, when the monkey can catch the ball. (c) When the monkey catches the ball, has the ball already passed the highest point on its trajectory? Show your working.
A baseball batter hits a long fly ball, giving it an initial velocity 45.0° above the horizontal. The ball risesto a maximum height of 14.8 m. An outfielder on the opposing team starts running at 7.60 m/s the instantthe ball is hit. Calculate the farthest the fielder can be from where the ball will land so that it is possiblefor him to catch the ball, i.e. distance between fielder’s original position and lading of the ball
A dive-bomber has a velocity or 280 m/s at ail angle θ below the horizontal. When the altitude of the aircraft is 2.15 km, it releases a bomb, which subsequently hits a target on the ground. The magnitude of the displacement from the point of release of the bomb to the target is 3.15 km. Find the angle θ.
A baseball batter hits a long fly ball, giving it an initial velocity 45.0° above the horizontal. The ball risesto a maximum height of 14.8 m. An outfielder on the opposing team starts running at 7.60 m/s the instantthe ball is hit. Calculate the farthest the fielder can be from where the ball will land so that it is possiblefor him to catch the ball, i.e. distance between fielder’s original position and lading of the ball. [HINT: Assume that the outfielder catches the ball at the same height at which it was hit, and that hebegins running at the same time that it was hit.]
An arrow leaves its bow with a velocity of 35 m/s. (a) what angle should it leave the bow in order to strike a target 50m away. (b) in how many seconds will it hit the target (c) what is the highest point of its trajectory ANS. (a) 11.8° (b) 11.48m (c) 2.61 m
A soccer player can kick the ball 30 m on level о ground, with its initial velocity at 37 ° to the horizontal. At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 13° upward slope?
Given the position vector ~r(t) = t^2ˆi+tˆj in meters, what is the magnitudeof the velocity vector at a time of three seconds?