9. An object is launched at a velocity of 20 m/s in a direction making ar angle of 25° upward with the horizontal. c) What is the maximum height reached by the object? d) What is the total flight time (between launch and touching the ground) of the object? e) What is the horizontal range (maximum x above ground) of the object?

9. An object is launched at a velocity of 20 m/s in a direction making ar angle of 25° upward with the horizontal. c) What is the maximum height reached by the object? d) What is the total flight time (between launch and touching the ground) of the object? e) What is the horizontal range (maximum x above ground) of the object?

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Description: 9. An object is launched at a velocity of 20 m/s in a direction making arangle of 25° upward with the horizontal.c) What is the maximum height reached by the object?d) What is the total flight time (between launch and touching theground) of the obje

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 46PE: A basketball player is running at 5.00 m/s directly toward the basket when he jumps into the air to...

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A rocket is launched at an angle of 53.0 above the horizontal with an initial speed of 100. m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 30.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile. Find (a) the maximum altitude reached by the rocket, (b) its total time of flight, and (c) its horizontal range.
A football receiver running straight downfield at 5.50 m/s is 10.0 m in front of the quarterback when a pass is thrown downfield at 25.0 above the horizon (Fig. P3.58). If the receiver never changes speed and the ball is caught at the same height from which it was thrown, find (a) the footballs initial speed, (b) the amount of time the football spends in the air, and (c) the distance between the quarterback and the receiver when the catch is made. Figure P3.58
A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from home plate. The ball is hit at an angle of 35.0 to the horizontal, and air resistance is negligible. Find (a) the initial speed of the ball, (b) the time it takes the ball to reach the wall, and (c) the velocity components and the speed of the ball when it reaches the wall. (Assume the ball is hit at a height of 1.00 m above the ground.)
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A ball is thrown straight upward and returns to the throwers hand after 3.00 s in the air. A second ball thrown at an angle of 30.0 with the horizontal reaches the same maximum height as the first ball, (a) At what speed was the first ball thrown? (b) At what speed was the second ball thrown?
(a) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32° ramp at a speed of 40.0 m/s (144 km/h). How many buses can he clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 20.0 m long? (b) Discuss what your answer implies about the margin of error in this act—that is, consider how much greater the range is than the horizontal distance he must travel to miss the end of the last bus. (Neglect air resistance.)
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For 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?
A 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.
Unreasonable Results A commercial airplane has an air speed of 280 m/s due east and flies with a strong tailwind. It travels 3000 km in a direction 5° south of east in 1.50 h. (a) What was the velocity of the plane relative to the ground? (b) Calculate the magnitude and direction of the tailwind's velocity. (c) What is unreasonable about both of these velocities? (d) Which premise is unreasonable?
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A projectile is launched with speed v0 at an angle 0 above the horizon. Its motion is described in terms of position, velocity, and acceleration: x, y, vx, vy, ax, ay, respectively, (a) Which of those quantities are constant during the motion? (b) Which are equal to zero throughout the motion? Ignore any effects of air resistance.