You throw a ball straight up from a rooftop. The ball misses the rooftop on its

Question

You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above theground, y, after x seconds.

x, seconds after the ball is thrown

y, ball's height, in feet, above the ground

1

319319

3

261261

4

184184

You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above theground, y, after x seconds.

x, seconds after the ball is thrown

y, ball's height, in feet, above the ground

1

319319

3

261261

4

184184

Explanation / Answer

According to equation of motion

x(t) = x(0)+ux.t+1/2 axt2

applying this along y- axis, and using X for time

y= y(0)+U.x-1/2gx2

where y(0) = height of rooftop from where ball is thrown

y= position of ball at any time 'x'

u= velocity with which ball is thrown up

g = acceleration due to gravity

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