Question

the acceleration of a particle at any acceleration a=3t^3+ut^2-5t+4 find
1) velocity of a particle at t=3seconds
2) displacement of a particle at t=4seconds​

Answer 1

a = 3t³ + ut² - 5t + 4

dv = adv

so,

⇒ 3t³/3 + ut²/2 - 5 + 0

⇒ t³ + ut²/2 - 5

when t = 3 sec

⇒ (3)³ + u(3)²/2 - 5

⇒ 9 + 9u/2 - 5

⇒ (8+9u)/2