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If Ahmad free falls for 2.60 seconds , what will be his final velocity and displacement during the fall ? Find the maximum height and the time of flight of a body fired vertically up from the ground given that it loses 60 % of its initial speed in rising 4.2 m .​

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Final answer:

The final velocity of Ahmad's free fall is calculated using the equation v = g × t, and the displacement using the equation s = (1/2) × g × t². For the vertical shot, the initial speed is found by considering the 60% speed loss at a height of 4.2 m, then using kinematic equations to determine time of flight and maximum height.

Step-by-step explanation:

To find Ahmad's final velocity and displacement during free fall, we can use the kinematic equations for uniformly accelerated motion, assuming the acceleration due to gravity (g) is 9.81 m/s². The time of flight and the maximum height of a body fired vertically upward can be similarly determined, taking into account the information about the initial speed loss.

For free fall, the final velocity (v) can be found using the equation v = g × t, where t is the fall time. The displacement (s) is given by s = (1/2) × g × t².

For a body shot vertically up, if it loses 60% of its initial speed at a height of 4.2 m, we can determine the initial speed (v0) by first calculating the final speed at 4.2 m, given that v2 = v02 - 2 × g × h, where h is the height. The time of flight can then be calculated by finding the time to rise to the maximum height and the time to fall back down, each of which can be determined using the kinematic equations.

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