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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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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