A man stands on the roof of a 15.0-m-tall building and throwsa rock with a speed of 30.0 m/s at an angle of 33.0 above the horizontal.Ignore air resistance. Calculate the horizontal range from the base of the building to the point where the rock strikes the ground.
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A man stands on the roof of a 15.0-m-tall building and throws
a rock with a speed of 30.0 m/s at an angle of 33.0 above the horizontal.
Ignore air resistance. Calculate the horizontal range from the base of the building to
the point where the rock strikes the ground.
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- During a squash game, a player hits the ball, of 24 g, which is moving toward him horizontally at 150 km/h. The impact between the racket and the ball lasts 1.2 ms and the ball leaves with an identical speed but in the opposite direction as the initial velocity. The ball then hits the wall in front, 8 m away and 18 cm below the height of the hit. What is the average force acting on the ball during the impact?Find the impact velocity of the ball and verify if it is a homerun. Use PARAMETRIC EQUATIONS and make a graph of the trajectory of the ball.Page 6 of 8 6. A projectile is fired at v, = 381.0 at an angle of 9 = 66.0° with respect to the horizontal. Assume that air friction will shorten the range by 32.1%. How far will the projectile travel in the horizontal direction, R?
- 3. A baseball is hit for a homerun. It leaves the bat at an angle of 60° with a speed 70m/s and travels into the second level of the outfield seats which is 180m horizontally and 60m vertically away from and above home plate. How fast is the ball moving when the fan catches it? Neglect friction.4As illustrated in the figure, consider a soccer player kicking a stationary ball of mass m = 0.5 kg. Assuming that the air resistance is negligible, the ball undergoes a projectile motion (shown in figure). It is recorded that the angle of release of the ball is 0 = 25.2° and the maximum height reached by the ball is h = 4.5 m. If the time during which the foot of the soccer player remained in contact with the ball is At = determine: (a) The speed of release, V, of the ball 0.12 s, (b) The horizontal distance, I, between the initial position of the ball and the landing point (c) The momentum, p, of the ball at the instant of takeoff (d) The magnitude of force, F, applied on the ball by the soccer player У
- At a local swimming pool, the diving board is elevated h = 8.5 m above the pool's surface and overhangs the pool edge by L = 2 m. A diver runs horizontally along the diving board with a speed of v0 = 4.2 m/s and then falls into the pool. Neglect air resistance. Use a coordinate system with the horizontal x-axis pointing in the direction of the diver’s initial motion, and the vertical y-axis pointing up. Determine the horizontal distance, dw in meters, from the edge of the pool to where the diver enters the water.An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce. 0 O 0 (a) Assuming the ball is always thrown with the same initial speed, at what angle should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 45.0° with no bounce (green path)? (b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw. tone-bounce tno-bounceAn outfielder throws a 0.148 kg baseball with velocity 30 m/s at 25° above horizontal. Ignoring air resistance: what KE did the ball have, at its peak (highest point)?
- A baseball has a mass of 0.140 kg, and it is pitched towards home plate at a speed of 48.0 m/s. Assume that the ball is pitched horizontally and that the ball is hit horizontally back in the opposite direction. If the bat exerts an average force of 9100 N for 2.80 ms, what is the final speed of the ball in m/s?27A motorcycle daredevil plans to ride up a 2.00 m high 26.0° ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as starts up the ramp. He is going 14.9 m/s at that instant, and the rolling friction of his rubber tires is not negligible. Assuming that the local acceleration due to gravity is -9.80 m/s2, calculate the landing point (in m) relative to the 10.0 m edge of the pool. (-1.0 m means he was 1.0 m short and in the pool, +1.0 m means he landed 1.0 m past the edge). The coefficient of rolling friction for rubber on ramp is 0.02.