If the displacement y of the particle is proportional to time that is if y is directly proportional to t then the acceleration of the particle will be
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If displacement is proportional to time then
y ∝ t
y = kt
[Here k is proportionality constant]
v = dy/dt
= d(kt) / dt
= k
Velocity is k
Acceleration = dv/dt
= d(k) / dt
= 0 ……[∵ Differentiation of constant is zero]
∴ Acceleration of particle is zero. Particle is moving with constant velocity.
y ∝ t
y = kt
[Here k is proportionality constant]
v = dy/dt
= d(kt) / dt
= k
Velocity is k
Acceleration = dv/dt
= d(k) / dt
= 0 ……[∵ Differentiation of constant is zero]
∴ Acceleration of particle is zero. Particle is moving with constant velocity.
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Answer:
Zero
Explanation:
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