First slide

Application of diffrentiation

Question

The displacement of a body at any time t after starting is given by s = 15t – 0.4t² . The velocity of the body will be 7 ms^–1 after time:

Moderate

A

20 s
B

15 s
C

10 s
D

5 s

Solution

$v = \frac{d s}{d t} = 15 - 0.8 t P u t v = 7 m s^{- 1} \Rightarrow t = 10 s$

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