First slide

Rectilinear Motion

Question

The velocity of a car travelling on a straight road is given by the equation $v = 9 + 8 t - t^{2}$ where v is in metre per second and t in second. The instantaneous acceleration when t = 5s is

Moderate

A

2 ms^-2
B

1 ms^-2
C

-1 ms^-2
D

-2 ms^-2

Solution

$\begin{array}{l} a = \frac{dt}{dt} = 8 - 2 t \\ \Rightarrow a = 8 - 2 (5) \\ \Rightarrow a = - 2 {ms}^{- 2} \end{array}$

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