3. In 1991, Mike Powell broke a 23-year-old record when he long jumped 8.95m. As

Question

3. In 1991, Mike Powell broke a 23-year-old record when he long jumped 8.95m. Assume his take off speed was 9.5m/s. How far away was Powell's record from the maximum possible range of an ideal particle? Hint the maximum range happens when the initial jumping angle is 45 degrees. Hint 2 - Again don't stress out, this is just a 2D kinematics problem. Make a 2D laundry list and find the range of a perfect particle and compare it to Powell's range. A sharpshooter has a rifle that shoots bullets at 460m/s. He is aiming horizontally at a target 45.7m away. But gravity causes the bullet to drop slightly on the way to the target. How high above the target should the rifle be aimed in order to hit it spot on? (Yes you guessed it, a 2D kinematics problem. 4.

Explanation / Answer

Max range can be possible

R'= u^2 sin (2x)/g= 9.5^2/9.8= 9.21 m

Powell short from max range by = 9.21-8.95= 0.259 m

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4.considering motion along horizontal

x= ut

45.7= 460t

t= 0.1 s

Vertical distance travlled by bullet till this time

h= 0.5gt^2= 0.5* 9.8*0.1^2= 0.049 meter above the target.

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Comment in case any doubt.. good luck

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