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2 Unit 2: Applied Mathematics A

A particle moves in a straight line with constant acceleration $a$ .

At time $t = 0$ the particle has velocity $u$ . At time $t\,$ the particle has velocity $v\,$ and its displacement from its starting point is $s$ .

You may assume the results $v = u + a t$ and $\left(\dfrac{u + v}{2}\right)t$ .

Derive the formula $v^2 = u^2 + 2as$ .

[3]

Derive the formula $s=ut+12at2\displaystyle s = ut + \frac12at^2$ .

[2]

2 Unit 2: Applied Mathematics A Questions

A particle moves in a straight line with constant acceleration $a$ .

At time $t = 0$ the particle has velocity $u$ . At time $t\,$ the particle has velocity $v\,$ and its displacement from its starting point is $s$ .

You may assume the results $v = u + a t$ and $\left(\dfrac{u + v}{2}\right)t$ .

Derive the formula $v^2 = u^2 + 2as$ .

[3]

Derive the formula $s=ut+12at2\displaystyle s = ut + \frac12at^2$ .

[2]