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Question: The motion of a particle moving along the y-axis is represented as y = 3 (t – 2) + 5 (t – 2)<sup>2</...

The motion of a particle moving along the y-axis is represented as y = 3 (t – 2) + 5 (t – 2)2. Identify the correct statement –

A

The initial (t = 0) velocity of the particle is3 ms–1

B

The acceleration of the particle is 5 ms–2

C

The particle is at the origin at t = 2s

D

All of the above

Answer

The particle is at the origin at t = 2s

Explanation

Solution

v→\overset{\rightarrow}{v} = dydt\frac{dy}{dt} & a→\overset{\rightarrow}{a}= dv→dt\frac{\overset{\rightarrow}{dv}}{dt}