COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 3, Problem 10QAP
To determine
Is there any point at which the velocity and acceleration vectors are perpendicular to each other if a soccer player a ball kicks a ball at an angle 60° from the ground?
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QUESTION 14
A ball is thrown from the edge of a cliff of height h=100 m with an
initial horizontal velocity of Vx=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)
h
d) What are the magnitude and direction of the ball's velocity when it
hits the ground? (Polar form)
n
A ball is thrown horizontally from a height of 5.50 m with an initial speed of 25.0 m/s. A) How long will it take the ball to reach the ground? B) At what horizontal distance from the point of release will it strike the ground? C) What will be the magnitude of its velocity when it strikes the ground? D) At what angle will it strike the ground?
A ball is thrown horizontally from a height of 5.50m with an initial speed of 25.0m/s.A) How long will it take the ball to reach the ground? B)At what horizontal distance from the point of release will it strike the ground? C) What will be the magnitude of its velocity when it strikes the ground? D) At what angle will it strike the ground?
Chapter 3 Solutions
COLLEGE PHYSICS
Ch. 3 - Prob. 1QAPCh. 3 - Prob. 2QAPCh. 3 - Prob. 3QAPCh. 3 - Prob. 4QAPCh. 3 - Prob. 5QAPCh. 3 - Prob. 6QAPCh. 3 - Prob. 7QAPCh. 3 - Prob. 8QAPCh. 3 - Prob. 9QAPCh. 3 - Prob. 10QAP
Ch. 3 - Prob. 11QAPCh. 3 - Prob. 12QAPCh. 3 - Prob. 13QAPCh. 3 - Prob. 14QAPCh. 3 - Prob. 15QAPCh. 3 - Prob. 16QAPCh. 3 - Prob. 17QAPCh. 3 - Prob. 18QAPCh. 3 - Prob. 19QAPCh. 3 - Prob. 20QAPCh. 3 - Prob. 21QAPCh. 3 - Prob. 22QAPCh. 3 - Prob. 23QAPCh. 3 - Prob. 24QAPCh. 3 - Prob. 25QAPCh. 3 - Prob. 26QAPCh. 3 - Prob. 27QAPCh. 3 - Prob. 28QAPCh. 3 - Prob. 29QAPCh. 3 - Prob. 30QAPCh. 3 - Prob. 31QAPCh. 3 - Prob. 32QAPCh. 3 - Prob. 33QAPCh. 3 - Prob. 34QAPCh. 3 - Prob. 35QAPCh. 3 - Prob. 36QAPCh. 3 - Prob. 37QAPCh. 3 - Prob. 38QAPCh. 3 - Prob. 39QAPCh. 3 - Prob. 40QAPCh. 3 - Prob. 41QAPCh. 3 - Prob. 42QAPCh. 3 - Prob. 43QAPCh. 3 - Prob. 44QAPCh. 3 - Prob. 45QAPCh. 3 - Prob. 46QAPCh. 3 - Prob. 47QAPCh. 3 - Prob. 48QAPCh. 3 - Prob. 49QAPCh. 3 - Prob. 50QAPCh. 3 - Prob. 51QAPCh. 3 - Prob. 52QAPCh. 3 - Prob. 53QAPCh. 3 - Prob. 54QAPCh. 3 - Prob. 55QAPCh. 3 - Prob. 56QAPCh. 3 - Prob. 57QAPCh. 3 - Prob. 58QAPCh. 3 - Prob. 59QAPCh. 3 - Prob. 60QAPCh. 3 - Prob. 61QAPCh. 3 - Prob. 62QAPCh. 3 - Prob. 63QAPCh. 3 - Prob. 64QAPCh. 3 - Prob. 65QAPCh. 3 - Prob. 66QAPCh. 3 - Prob. 67QAPCh. 3 - Prob. 68QAPCh. 3 - Prob. 69QAPCh. 3 - Prob. 70QAPCh. 3 - Prob. 71QAPCh. 3 - Prob. 72QAPCh. 3 - Prob. 73QAPCh. 3 - Prob. 74QAPCh. 3 - Prob. 75QAPCh. 3 - Prob. 76QAPCh. 3 - Prob. 77QAPCh. 3 - Prob. 78QAPCh. 3 - Prob. 79QAP
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- 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.arrow_forwardWhich of the following correctly describes the centripetal acceleration vector for a particle moving in a circular path? (a) constant and always perpendicular to the velocity vector for the particle (b) constant and always parallel to the velocity vector for the particle (c) of constant magnitude and always perpendicular to the velocity vector for the particle (d) of constant magnitude and always parallel to the velocity vector for the particlearrow_forward(i) As a projectile thrown upward moves in its parabolic path (such as in Fig. 3.8), at what point along its path are the velocity and acceleration vectors for the projectile perpendicular to each other? (a) nowhere (b) the highest point (c) the launch point (ii) From the same choices, at what point are the velocity and acceleration vectors for the projectile parallel to each other?arrow_forward
- A football player punts the ball at a 45.0° angle. Without an effect from the wind, the ball would travel 60.0 m horizontally. (a) What is the initial speed of the ball? (b) When the ball is near its maximum height it experiences a brief gust of wind that reduces its horizontal velocity by 1.50 m/s. What distance does the ball travel horizontally?arrow_forwardFor a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use the larger angle? Why does the punter in a football game use the higher trajectory?arrow_forwardGive an example of a trajectory in two or three dimensions caused by independent perpendicular motions.arrow_forward
- You can use any coordinate system you like to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle with respect to the horizontal. Let the building be 50.0 m tall, the initial horizontal velocity be 9.00 m/s, and the initial vertical velocity be 12.0 m/s. Choose your coordinates such that the positive y-axis is upward, the x-axis is to the right, and the origin is at the point where the ball is released, (a) With these choices, find the balls maximum height above the ground and the time it takes to reach the maximum height. (b) Repeat your calculations choosing the origin at the base of the building.arrow_forwardProve that the trajectory of a projectile is parabolic, having the form y=ax+bx2. To obtain this expression, solve the equation x=v0xt for t and substitute it into the expression for y=v0yt(1/2)gt2 (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain an equation of the form y=ax+bx2 where a and b are constants.arrow_forwardFigure OQ4.1 shows a bird's-eye view of a car going around a highway curve. As the car moves from point 1 to point 2, its speed doubles. Which of the vectors (a) through (e) shows the direction of the cars average acceleration between these two points?arrow_forward
- A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (Fig. P3.48). The quick stop causes a number of melons to fly off the truck. One melon leaves the hood of the truck with an initial speed vi = 10.0 m/s in the horizontal direction. A cross section of the bank has the shape of the bottom half of a parabola, with its vertex at the initial location of the projected watermelon and with the equation y2 = 16x, where x and y are measured in meters. What are the x and y coordinates of the melon when it splatters on the bank?arrow_forward(a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0° north of east (which is equivalent to subtracting B from A that is, to finding R=AB ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° south of west and then 12.0 m in a direction 20.0° east of south (which is equivalent to subtracting A from B that is, to finding R=BA=R ). Show that this is the case.arrow_forwardA catapult launches a rocket at an angle of 53.0 above the horizontal with an initial speed of 100 m/s. The rocket engine immediately starts a burn, and for 3.00 s the rocket moves along its initial line of motion with an acceleration of 30.0 m/s2. Then its engine fails, and the rocket proceeds to move in free fall. Find (a) the maximum altitude reached by the rocket, (b) its total time of flight, and (c) its horizontal range.arrow_forward
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