The distance travelled by a particle is related to time t a s x=4 t2. The velocity of the particle at t-5 s is:-

Question

The distance travelled by a particle is related to time t a s x=4 t2. The velocity of the particle at t-5 s is:- (A) 8 m s-1 (B) 20 ms -1 (C) 25 ms -1 (D) 40 ms -1

Tardigrade Admin · Accepted Answer

x =4 t 2 v =( dx / dt )=8 t At t =5 sec v =8 × 5=40 m / s

Q. The distance travelled by a particle is related to time $t a s x = 4 t^{2}$ . The velocity of the particle at $t - 5 s$ is:-

$8 m s^{- 1}$

$20 m s^{- 1}$

$25 m s^{- 1}$

$40 m s^{- 1}$

$x = 4 t^{2}$
$v = \frac{d x}{d t} = 8 t$
At $t = 5 sec$
$v = 8 \times 5 = 40 m / s$

Q. The distance travelled by a particle is related to time tasx=4t2. The velocity of the particle at t−5s is:-

8ms−1

20ms−1

25ms−1

40ms−1

x=4t2 v=dtdx​=8t At t=5sec v=8×5=40m/s