Question

A ball is dropped from a cliff. determine how far the ball fell after 7.5 seconds

Answer 1

The ball fell 275.625 meters after 7.5 seconds

Step-by-step explanation:

Free fall

If an object is left on free air (no friction), it describes an accelerated motion in the vertical direction, powered exclusively by the acceleration of gravity. The formulas needed to compute the different magnitudes involved are

`V_f=gt`

`\displaystyle y=(gt^2)/(2)`

Where
`V_f` is the final speed of the object in free fall, assumed positive downwards, t is the time elapsed since the release and y is the vertical distance traveled by the object

The ball was dropped from a cliff. We need to calculate the vertical distance the ball went down in t=7.5 seconds. We'll use the formula

`\displaystyle y=(gt^2)/(2)`

`\displaystyle y=((9.8)(7.5)^2)/(2)`

`Y=275.625\ m`