Constant acceleration formulaeEdexcel International A Level Maths: Mind map

Exam questions on Constant acceleration formulae

1. A cyclist moves along a straight horizontal road. At the instant she passes a point $A$ her speed is $4$ m s⁻¹. She then accelerates uniformly at $0.5$ m s⁻² for $12$ s.
   Find the distance the cyclist travels in the last $2$ s of this motion.2 marks
2. A ball is thrown vertically upwards with speed $14$ m s⁻¹ from a point $2$ m above horizontal ground. Model the ball as a particle moving freely under gravity, and take $g=9.8$ m s⁻².
   Find the speed of the ball when it hits the ground.2 marks
3. A train moves in a straight line from rest at station $P$ to rest at station $Q$. It accelerates uniformly at $0.5$ m s⁻² for $40$ s, then travels at constant speed for $150$ s, and finally decelerates uniformly at $0.8$ m s⁻² to rest at $Q$.
   Find the distance travelled by the train while it is decelerating.3 marks