First slide

Graphical representation-Motion in 1 d

Question

The following graph (figure) shows the variation of velocity of a rocket with time. Then the maximum height attained by the rocket is

Moderate

A

1.1 km
B

5 km
C

55 km
D

None of these

Solution

Maximum height will be attained at 110 s. Because after 110 s, velocity becomes negative and rocket will start coming down. Area from 0 to 110 s is
$\frac{1}{2} \times 110 \times 1000 = 55, 000 m = 55 km$

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