A particle moves on a straight line and cover a displacement x metres in time t seconds. If the displacement is in form of equation given below. Find its acceleration after 2 seconds. x = 5t^3 - t^2 + 1

Respuesta :

Answer:

58 m / s²

Step-by-step explanation:

The rate of change of displacement is velocity v

The rate of change of velocity is acceleration a , thus

v = [tex]\frac{dx}{dt}[/tex] = 15t² - 2t , then

a = [tex]\frac{dv}{dt}[/tex] = 30t - 2

After 2 seconds

a = 30(2) - 2 = 60 - 2 = 58 m/ s²