EasyPhysicsHigh School (9–10)GeneralMechanics › Gravitation Mechanics › Motion in a Straight LineNumericalBoard Exam

A ball is dropped from rest. How far has it fallen after 2.5 s, and how fast is it moving then? …

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

A ball is dropped from rest. How far has it fallen after $2.5\ \text{s}$ , and how fast is it moving then? ( $g = 9.8\ \text{m/s}^2$ )

Need a reminder? The key ideaShow

Free fall: only gravity acts, $a = g$ for every object. From rest, $v = gt$ , $h = \tfrac12 gt^2$ , $v^2 = 2gh$ . Thrown up at $u$ : it reaches the top after $\dfrac{u}{g}$ at a height $\dfrac{u^2}{2g}$ .

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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