3 A particle is projected vertically upwards with velocity \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) from a point 2.5 m above the ground.
- Calculate the speed of the particle when it strikes the ground.
- Calculate the time after projection when the particle reaches the ground.
- Sketch on separate diagrams
(a) the \(( t , v )\) graph,
(b) the \(( t , x )\) graph,
representing the motion of the particle.