From the top of a building, a stone is thrown with an initial speed at an angle of 60° above the horizontal and hits the ground 3.0 s later. The horizontal distance from the building to the point where the stone strikes the ground is 12 m. Find the vertical height of the building. (A) 23 m (B) 31 m (C) 57 m (D) 65 m (E) none of these
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- An object is thrown off the top of a building with velocity 36 m/s at an angle of 23° with respect to the horizontal. The object travels a horizontal distance of 260 m before landing on the ground. (a) How high is the building in meters? (b) What is the magnitude of the velocity of the object when it reaches the ground? (c) What is the direction of the object when it reaches the ground, in degrees from the positive x-axis?A rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?An object is thrown off the top of a building with velocity 28 m/s at an angle of 32° with respect to the horizontal. It takes 6.2 s for the object to land. (a) How high is the building in meters? (b) What is the horizontal distance that the object travels in meters?
- When a ball with a mass of 3 kg reaches 9 meters above the ground after being thrown obliquely from the ground to the air, the velocity vector is calculated with v = 7i + 6j. Accordingly, what is the maximum height the ball can reach?While standing on the roof of a building, a child tosses a tennis ball with an initial speed of 16 m/s at an angle of 25° below the horizontal. The ball lands on the ground 3.5 s later. How tall, in meters, is the building?A rock is thrown off a cliff at an angle of 59° above the horizontal. The cliff is 135 m high. The initial speed of the rock is 20 m/s. (Assume the height of the thrower is negligible.) (a) How high above the edge of the cliff does the rock rise (in m)?wrong answers are 149.449m and 18.016m (b) How far has it moved horizontally when it is at maximum altitude (in m)? (c) How long after the release does it hit the ground (in s)? (d) What is the range of the rock (in m)? (e)What are the horizontal and vertical positions (in m) of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?(Assume the +x-direction is in the horizontal direction pointing away from the cliff, the +y-direction is up towards the sky, and x = y = 0 at the point from which the rock is thrown.) x(2.0 s) = my(2.0 s) = mx(4.0 s) = my(4.0 s) = mx(6.0 s) = my(6.0 s) = m
- An airplane takes off and flies upward at an angle of 19° with a constant speed of 272 m/s. While the plane is flying upward, a piece of the engine falls off when the plane reaches a height of 880 m. (While not part of the problem, assume the plane eventually lands safely.) (a) How long does it take the piece of the engine to reach the ground? Give your answer in seconds. (b) What is the horizontal distance covered by the piece of the engine before it lands? Give your answer in meters.A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. Vo - ( mis) 7 + m/s) ? At the maximum height, the speed of the cannon ball is v= m/s and the magnitude of its acceleration is a- m/s?. The time needed to reach maximum height is t- S. The maximum height reached by the cannon ball is H= m.An object is thrown off the top of a 42 m tall building with a velocity of 475 m/s at an angle of 10.4° with respect to the horizontal. (a) How long is the object in the air in seconds? (b) What is the maximum height the object reaches above the ground in meters? c) What is the horizontal distance the object covers in meters?
- A rock is thrown off a cliff at an angle of 48° above the horizontal. The cliff is 150 m high. The initial speed of the rock is 20 m/s. (Assume the height of the thrower is negligible.) (d) What is the range of the rock (in m)? (e) What are the horizontal and vertical positions (in m) of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s? (Assume the +x-direction is in the horizontal direction pointing away from the cliff, the +y-direction is up towards the sky, and x = y = 0 at the point from which the rock is thrown.)In the figure, a stone is projected at a cliff of height h with an initial speed of 40.0 m/s directed at an angle 00 = 52.0° above the horizontal. The stone strikes at A, 5.62 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground. H (a) Number i Units (b) Number i Units (c) Number Units >Problem 8: A person is standing on top of a building. While standing at the edge of the building the person throws a water balloon downward with a speed of 24 m/s and at an angle of 36° below the horizontal. It takes 3.1 s for the water balloon to hit the person's friend. Part (a) How high is the building in meters? Numeric : A numeric value is expected and not an expression. h = Part (b) How fast is the water balloon moving when it hits the friend on the ground? Give your answer in m/s. Numeric : A numeric value is expected and not an expression. v= Part (c) What was the horizontal distance between the friend on the ground and the building in meters? Numeric : A numeric value is expected and not an expression. dx = %3!