UUlu type ale [c] [a] III] When a ball is thrown vertically up with some initial

Question

UUlu type ale [c] [a] III] When a ball is thrown vertically up with some initial speed it slows down as it moves up, reaches a certain maximum height, and then falls straight down. Assume no air friction. During the trajectory of the ball in the air, which one of the following is true? lal The acceleration and velocity of the ball both increase on the way down Ibl The change in the speed of the ball is the same for any two equal spatial intervals Tc The change in the speed of the ball is the same for any two equal time intervals. IVIA tennis ball is dropped from the top ofa tall building of height H. The ball hits the groun with speed v. At height H/2 the speed of the ball would be:

Explanation / Answer

Since the ball is thrown vertically up, it will have vertical velocity only and 0 horizontal velocity.

The acceleration in vertical direction is g = 9.8 m/s2 acting downwards

Let the velocity at any time be u m/s downward

The the velocity at any time t seconds later will be, v = u + gt = u + 9.8*t

From this we see that the change in speed is always equal to 9.8 m/s for every second, it does not matter when are we measuring.

So the change in speed for two equal time interval will always be equal to 9.8 * the time interval and it does not matter when the time interval is taken.

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