Question

Displacement (in metre) of a particle varies with time (in second) is given as y(t) = 4

t2 – 16

t + 5.

Time taken by the particle to come to rest is
​

Answer 1

Answer:

The displacement is given as: y=ut+

2

1

at

2

where, u is the initial velocity and a is the acceleration.

Comparing with given expression: y=16t−2t

2

/3+2,

u=16m/s, a=−

3

4

m/s

2

As, v=u+at, where v is final velocity.

Taking v=0, the time taken for body to come to rest.

0=16−

3

4

t⇒t=12 sec

Explanation:

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Answer 2

Answer:

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Explanation:

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