A particle starts from rest. Its acceleration ‘a’ versus time ‘t’ is shown in the figure. The maximum speed of the particle will be:

Question

A particle starts from rest. Its acceleration ‘a’ versus time ‘t’ is shown in the figure. The maximum speed of the particle will be: (A) 80 ms -1 (B) 40 ms -1 (C) 18 ms -1 (D) 2 ms -1

Tardigrade Admin · Accepted Answer

Area under a -t graph =v-u (1/2) × 8 × 10= v v =40 m s -1

Q. A particle starts from rest. Its acceleration ‘ $a$ ’ versus time ‘ $t$ ’ is shown in the figure. The maximum speed of the particle will be:

$80 m s^{- 1}$

$40 m s^{- 1}$

$18 m s^{- 1}$

$2 m s^{- 1}$

Area under a $- t$ graph $= v - u$
$\frac{1}{2} \times 8 \times 10 = v$
$v = 40 m s^{- 1}$

Q. A particle starts from rest. Its acceleration ‘a’ versus time ‘t’ is shown in the figure. The maximum speed of the particle will be:

80ms−1

40ms−1

18ms−1

2ms−1