Question

Acceleration of Particle increases linearly with time t as 6t if the initial of the particle is zero and the particle start from the origin then the distance travelled by the particle in time will be

Answer 1

I can't solve hope it helps

Answer 2

Answer:

t^3

Explanation:

• a is given as function of t so a=6t

a = dv/dt so  ∫dv =∫6tdt

put limit 0 to v for dv integeral and 0 to t for 6tdt

v = 6t²/2= 3t²

v = dx/dt so

∫dx=∫3t²dt

put limit 0 to x for dx and 0 to t for 3t²dt

x-0 = 3t×t -0

x = 3t³+c

hence the distance travlelled by particle in t time will be t³