Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A ball is rolled up a long straight ramp. Its position along the ramp is , in metres, with in seconds.
Velocity at an instant: . The body stops for an instant (and may turn round) when .
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.
Step 1. Velocity. . At : .
Step 2. When it stops. at .
Step 3. Where. .
Step 4. Back at the start. gives , so .
Answer: (a) . (b) . (c) . (d) .
Check. Up takes and down takes , as for any steady deceleration with no friction.
Watch out. The ball's position at the start is , not : "back where it started" means .
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