Question

the velocity of a body varies with time as v is equals to 4t meter per second find the distance travelled by the body in the interval 2 seconds 4 seconds​

Answer 1

Answer:

Explanation:

The velocity of body v = ds/dt

here s is the displacement

Thus ds = v dt  =  4t dt

s = 4  $\int\limits^a_b {t} \, dt$

here b = 0 and a = 2 s

Therefore s = 4 x t²/2  = 2t²

if t = 0  ;  s = 0

if t = 2s   ; s = 8 m

if t = 4s  ; s 32 m