Constant acceleration (suvat) equationsAQA A-Level Maths: Mind map

Exam questions on Constant acceleration (suvat) equations

1. A car travels in a straight line with constant acceleration. Over a $6$ s period its speed increases from $8$ m s$^{-1}$ to $20$ m s$^{-1}$.
   Find the speed of the car when it has travelled $50$ m from the start of the $6$ s period.2 marks
2. A train slows down with constant deceleration along a straight track. It passes a signal at $30$ m s$^{-1}$ and comes to rest $450$ m beyond the signal.
   Find the speed of the train when it is $200$ m beyond the signal.2 marks
3. A particle moves in a straight line with constant acceleration $a$. At time $t=0$ its velocity is $u$. At time $t$ its velocity is $v$ and its displacement from its starting point is $s$.
   Using the definition of acceleration and the fact that the average velocity is $\frac12(u+v)$ for constant acceleration, derive the formula $s=ut+\frac12at^2$.3 marks