A cannon ball is shot horizontally off a 125 meter cliff at a speed 200 m/s. a. Calculate the time the cannon ball is in the air (flight time). b. Calculate the distance the cannon ball lands from the base of the cliff.
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- (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.)A person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity vi as shown in Figure P3.56. (a) What must be its minimum initial speed if the ball is never to hit the rock after it is kicked? (b) With this initial speed, how far from the base of the rock does the ball hit the ground?A crazy person jumped off a 100-meter cliff because of climate change. He is launched up in the air at a velocity of 20m/s in a direction making an angle of 250 upward with the horizontal. a.) What is the maximum height reached by the crazy person? b.) What is the total time flight (between launch and touching the ground) of the crazy person? c.) What is the horizontal range of the crazy person? d.) What is the magnitude of the velocity of the crazy person just before it hits the ground?
- An object is launched at a velocity of 20m/s in a direction making an angle of 25ᵒ upward with the horizontal. a. What is the maximum height reached by the object? b. What is the total time flight (between launch and touching the ground) of the object? c. What is the horizontal range of the object? d. What is the magnitude of the velocity of the object just before it hits the ground?A plane takes off and flies upwards at an angle of 24 degrees with a constant speed of 268 m/s. While the plane is flying upwards, a piece of the engine falls off when the plane reaches a height of 880 m. a. How long does it take the piece of the engine to reach the ground? Give answer in seconds. b. What so the horizontal distance covered by the piece of the engine before it lands? Give answer in meters.A golfer hits a ball off the tee with a velocity of 36 m/s at an angle of 30 degrees. The ball lands on the fairway 24 meters below the tee. a. Calculate the maximum height the ball reaches above the tee. b. Calculate the velocity of the ball at its maximum height. c. How long is the ball in the air? d. How far away horizontally does tha ball land? e. Calculate the ball's speed as it hits the fairway f. Calculate the landing angle in degrees below the horizontal.
- A ball is kicked with an initial velocity of 15m/s in the horizontal direction 11m/s in the vertical direction. a. At what speed does the ball hit the ground? b. For how long does the ball remain in the air? c. What maximum height is attained by the ball?A hot air balloon flying horizontally at a velocity of 50m/s and at an altitude of 475 meters when one if its sandbags falls off. A. How long (in seconds) does it take the sand bags to reach the ground? B. What horizontal distance (in meters) will the bag travel before it strikes the ground?A student throws a 2.5kg ball horizontally off the top of a building with an initial speed of 4.25 m/s. At the same time, another student throws a 1.12kg ball along the same trajectory with the same initial speed. Which of the balls hits the ground first? a. The 2.5kg ball. b. They hit at the same time. c. The 1.12kgball.
- A rifle is aimed horizontally at a target 50 m away. The bullet hits the target 2.0 cm below the aim point. a. What was the bullet’s flight time? b. What was the bullet’s speed as it left the barrel?A rock is thrown off a cliff at an angle of51ºwith respect to the horizontal. The cliff is 110 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 att= 2.0 s,t= 4.0 s, andt= 6.0 s?A ball is thrown horizontally from a cliff of height 90 meters with an initial speed of 45 m/s. A. How far from the base of the cliff will it strike the ground? B. What is its vertical component of velocity when it strikes the ground? C. What is its speed when it strikes the ground?