The x- and y-coordinates of a moving particle are given by the parametric equations below. Find the magnitude and direction of the velocity for the specific value of it. Sketch the curve and show the velocity and its components. x=3t,y=1−t,t=4

The x- and y-coordinates of a moving particle are given by the parametric equations below. Find the magnitude and direction of the velocity for the specific value of it. Sketch the curve and show the velocity and its components. x=3t,y=1−t,t=4

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 42PQ: The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 =...

See similar textbooks

Related questions

Q: When a projectile reaches the highest point the horizontal component of the acceleration is: E)…

A: Given data: A projectile motion Object at highest point Required: The horizontal component of the…

Q: A ball is shot from the roof of a building into the air with a velocity v = (2î + 3j) m/s. In unit…

A: Let u denotes the initial velocity, v denotes the velocity of the object at a time t, and g denotes…

Q: Find the velocity, acceleration, and speed of a particle given by the position function r(t) = 2…

Q: An object that starts moving from point k of a circular runway with its center point O of magnitude…

Q: At 45 degrees the horizontal and vertical components of the initial velocity are the same, what is…

Q: The ground vector of a moving particle in a plane is r=(t³ - t)i + (t²)j a) Find the velocity and…

A: r=(t³ - t)i + (t²)j (a) Velocity and acceleration vector = ? (b) Unit tanget = ? (c) Acceleration…

Q: The x- and y- coordinates of a moving particle are given by the parametric equations below. Find the…

Q: Consider the following data for the table below: • Projection Angle = 45.9° • Range (Trial 1) = 1.1…

A: Average range (A)= ( 1.1 + 1.11 + 1.12 ) / 3 Average range ( A ) = 1.11 m Projection angle ( θ…

Q: bullet is fired on level ground at 231 m/s, 60° above the horizontal. Setup with a labeled…

A: Initial speed of the bullet u=231 m/s Fired angle θ=600 The bullet undergoes projectile motion.The…

Q: The blue curve shown in Figure below display the motion of a particle in x direction with respect to…

A: The slope of the velocity-time graph can be used to give the acceleration of any object. If the…

Q: An arrow is shot from a height of 1.5 m toward a cliff of height H. It is shot with a velocity of 28…

A: a) The total vertical displacement from the height is, y=yo+usinθt-12gt2H=1.5 m+28 m/ssin60o3.78…

Q: Find the magnitude of the change in velocity v. Find the direction of the change in velocity v.

A: Given data: The initial velocity of the car is: vi = 45 km/hr The final velocity of the car is: vf =…

Q: 3 4 Horizontal Displacement

A: A projectile is fired at an angle of 45º above the horizontal.

Q: In the Projectile experiment, the projectile was fired horizontally with an initial velocity (Vo)…

A: Required : Slope of the graph

Q: Which of the following statements is NOT true? Select one: a. If the object moves at constant…

A: Acceleration is defined as rate of change of velocity. S.I. units of acceleration is m/s2…

Q: A Space-X shuttle is fired from its launch pad at x = 0 and travels along a path described by…

A: Given : The path traveled by the Space X shuttle y2 = 120000 x The x - component of acceleration ax…

Q: Which of the following will not affect the trajectory of an idealized projectile? a. initial angle…

Q: In the two-dimensional motion, what is the magnitude of the y component of the velocity of the…

Q: A hollow plastic ball is projected into the air. There is significant air resistance opposing the…

A: Given data The velocity of the ball is: v The angle of velocity with the horizontal is: θ = 45° The…

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: (a)Co-ordinates of stone’s initial position is,

Q: After an airplane takes off, it travels 10.4km 15° N of W 8.7km 60° E of S 13.2km S What is the…

Q: ball is kicked at an angle of 60 degrees. The X component of the ball's velocity is 5 m/s. What is…

A: Suppose a soccer ball is kicked at an angle of 60 degrees. The X component of the ball's velocity is…

Q: What is the total distance (in meters) of the education-major student below? * North 1 000 m B 2 000…

A: For the given motion diagram,

Q: a. Find the velocity and position vectors for t≥0. b. Graph the trajectory. c. Determine the time of…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Find the velocity of the motorbike, in unit vector notation, when it reaches the maximum y position

Q: A glider is initially moving at a constant height of 3.76 m. It is suddenly subject to a wind such…

A: GIven data The constant height of the glider is h = 3.76 m. The velocity of equation is given as…

Q: Neglecting air friction, which describes the behavior of the x component of the velocity of a…

A: The motion of an object thrown or projected into the air, with some angle of inclination (θ) with…

Q: The diagram on the above shows the initial velocity of an object. The magnitude of the initial…

A: Given Data: The magnitude of the initial velocity is, v0=40 m/s The angle from the horizontal axis…

Q: A skateboarder travels on a horizontal surface with an initial velocity of 3.6 m/s toward the south…

Q: A baseball is thrown such that its initial x and y components of velocity are known. Neglecting air…

A: Given: A baseball is thrown such that its initial x and y components of velocity are known. the…

Q: A motion that is given an initial velocity and follows a path under the influence of gravity. a.…

Q: The position F of a particle moving in an xy plane is given by: F=(2.00t -5.00t)i +(6.00–7.00€*)}…

Q: The only parameter that is common in horizontal and linear motion in a projectile is A. Range B.…

A: In horizontal motion object move with a linear speed for a time period to cover a range (distance)…

Q: A paper plane is traveling with the following velocity: (2.5i + 3.2j + 3.2k) m/s What unit vector…

A: The velocity of the paper plane: v→ = (2.5i^ + 3.2j^ + 3.2k^) m/s .

Q: A pilgrim throws a coin down a well with an initial speed of 2 m/s and it takes 10 s to reach the…

A: Initial speed of coin (u) = 2 m/stime taken to reach the bottom (t) = 10 seconds

Q: A projectile is to be launched at an angle of 30° so that it falls beyond the pond of length 20…

Q: Consider the motion of a bullet that is fired from a rifle 3 m above the ground in a northeast…

Q: leon Calix throws a projectile with a velocity of 40 m/s at an angle of 20 deg above the horizontal.…

A: Motion of projectile can be divided into x component and y component.

Q: A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If…

Q: From the choices below, What motion is the combination of horizontal and vertical components that…

A: Projectile motion is the motion, which is the combination of horizontal and vertical components that…

Q: A projectile is fired from point O at the edge of a cliff, as shown in figure 1, with an initial…

Q: In a sport feast, a soccer ball is kicked from ground level over level ground with an initial…

Q: If a boat moves at 43 m/s at an angle of 292 in an ocean current of 26 m/s at an angle of 152 while…

Q: small rocket is fired from a launch pad 15 m above the ground with an initial velocity (250,350,500)…

Q: A man stands on the roof of a building of height 17.0 m and throws a rock with a velocity of…

Q: A particle is moving along a spiral path, and if its cyclical velocities change with time according…

Q: The position F of a particle moving in an xy plane is given by: F =(200t* –5.00t )î +(6.00–7.00e*)ĵ…

A: here, r⇀=(2.00t3-5.00t)i^ + (6.00-7.00t4)at t = 2.00 s

Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42
A student at the top of a building of height h throws one ball upward with a speed of vi and then throws a second ball downward with the same initial speed vi. Just before it reaches the ground, is the final speed of the ball thrown upward (a) larger, (b) smaller, or (c) the same in magnitude, compared with the final speed of the ball thrown downward?
The x- and y-coordinates of a moving particle are given by the parametric equations below. Find the magnitude and direction of the velocity for the specific value of t. Sketch the curve and show the velocity and its components. x = 4t, y = 4 - t, t= 2 Find the magnitude of the velocity of the particle for the specific value of t. (Answer rounded to two decimal places as needed.)
A velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total magnitude of the velocity? O 3.8 m/s 6.7 m/s 5.8 m/s 8.8 m/s
The initial velocity of a car, v i is 45 km/hr in the positive x-direction. The final velocity of the car, vf is 66 km/hr in a direction that points 750 above the positive x-axis. Sketch the vectors v = v f − v i . Find the magnitude of the change in velocity v. Find the direction of the change in velocity v.
The equation r(t) = ( sin t)i + ( cos t)j + (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. π Then write the particle's velocity at t= as a product of its speed and direction. The velocity vector is v(t) = (i+j+ k.
At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+ 12j - k. The acceleration function of the particle is a(t) = 16ti+j+ (cos 2t)k. Find the speed of the particle at time t = 1. Round your answer to two decimal places. Speed =
An object is fired at an angle θ above the ground with an initial speed of v0. Find an expression for the horizontal position x of the projectile when it hits the ground in terms of v0, θ, and g (gravity). Start with the kinematic equations for x(t) and y(t). Use y = 0. Then eliminate time t. Note that sin(2θ) = 2 cos θ sin θ
The eguation r(t)= (3t+ 9) i + (8t - 2) j+(4t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t= 0 as a product of its speed and direction. What is the velocity vector? v(t) = (D i+ (Di+ k
Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have mag- nitudes of 3.00 m and vector A makes an angle of 0 = 30.0° with the x axis. Express the resultant Á + B in unit-vector notation.
The equation 7(t) = 6 cos(3t) i +4 sin(3t) j gives the position of a particle in the xy-plane at time t. Find a function f(x, y) so that the graph of f(x, y) = 1 is the path %3D of the particle. Then find the particle's velocity and acceleration vectors at time = 7. Path of the particle is described by 1 = Velocity vector at t = 7n is Acceleration vector at t = 7n is
The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t=0 as a product of its speed and direction. What is the velocity vector? v(t) = (O i+ ( j+ (O k