9709 P42 - Mar 2020 - Q7
3733
A particle moves in a straight line through the point O. The displacement of the particle from O at time t s is s m, where
\(s = t^2 - 3t + 2\) for \(0 \leq t \leq 6\),
\(s = \frac{24}{t} - \frac{t^2}{4} + 25\) for \(t \geq 6\).
- Find the value of t when the particle is instantaneously at rest during the first 6 seconds of its motion. [2]
- At t = 6, the particle hits a barrier at a point P and rebounds. Find the velocity with which the particle arrives at P and also the velocity with which the particle leaves P. [3]
- Find the total distance travelled by the particle in the first 10 seconds of its motion. [5]
