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Mechanics: Applying suvat equations

A ball is thrown upwards on a distant planet and is acting solely under gravity of 12 ms–2 downward.
A stopwatch starts when the ball is moving at 9 ms–1 upward.

It is travelling at 4 ms–1 downward when it is m above its starting point.
If there is more than one solution, enter only one (either).

tickcross


Worked Solution:

In this question a = –12 ms–2, v = –4 ms–1 and u = 9 ms–1 with distance measured upward.
We need a suvat equation with a, v, u as well as s; i.e. an equation with t missing.
So the equation to use is:v2 = u2 + 2 a s
Rearranging to find s
s =
v2 – u2
---
2 a
Substituting the values given for the variables we have s = 2.708 m to 3 dps.

Mechanics 1 (MEI Structured Mathematics M1) Third Edition (2004) pages 22-28
© MEI Produced by Dr Ron Knott, updated 24 August 2007
tom . button [AT] mei . org . uk 		Test reference: MechSuvatApply.html?ref=30484