Question

The displacement of a body is proportional to t3, where t is time elapsed. What is the nature of acceleration -time graph of the body? Explain.

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Answer 1

acceleration -time graph of the body   has constant Slope

Explanation:

s = displacement

s  ∝  t³

=> s  = kt³

v  =  ds/dt

=> v =  d( kt³)/dt

=> v = 3kt²

a  = dv/dt

=> a  =  d (3kt²)/dt

=> a = 6kt

a = 6kt

Comparing with

y = mx  + c

m = 6k     c  = 0

acceleration -time graph of the body   has constant Slope

at t= 0 acceleration = 0

Graph is attached fyr

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