if a particle moving in straight line such that its position varies with time as x=5 (t-2) + 6 (t-2) ^2, then intial acceleration is

Question

Physics

Ty Dunn

18 June, 13:58

if a particle moving in straight line such that its position varies with time as x=5 (t-2) + 6 (t-2) ^2, then intial acceleration is

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Mathias Meyers · Answer 1

12

Explanation:

x = 5 (t - 2) + 6 (t - 2) ²

x = 5t - 10 + 6 (t² - 4t + 4)

x = 5t - 10 + 6t² - 24t + 24

x = 6t² - 19t + 14

Velocity is the derivative of position with respect to time:

v = dx/dt

v = 12t - 19

Acceleration is the derivative of velocity with respect to time:

a = dv/dt

a = 12

The particle's acceleration is constant at 12 (use appropriate units).