# The displacement of an object attached to a spring and executing simple harmonic motion is given by maximum speed first occurs is Option 1) Option 2) Option 3) Option 4)

As we learnt in

Phase constant -

The constant $\delta$ appearing in eqation $x=A\sin \left ( wt+\delta \right )$ is called phase constant. It describes initial state.

- wherein

This constant depends on the choice of the instant $t=0$.

:    Given : displacement  $x= 2\times 10^{-2}\cos \pi t$

$Velocity\: \: \nu = \frac{dx}{dt}= -2\times 10^{-2}\pi \sin \pi t$

$For\: the\: first \: time \: when\: \: \nu = \nu _{max},\sin \pi t= 1$

$or\: \: \: \sin \pi t= \sin \frac{\pi }{2}\: \: \: \: or\: \: \: \: \: \pi t= \frac{\pi }{2}$

$or\: \: \: t= \frac{1}{2}\: \: \: \: s= 0.5s$

Correct option is 2.

Option 1)

This is an incorect option.

Option 2)

This is the correct option.

Option 3)

This is an incorect option.

Option 4)

This is an incorect option.

### Preparation Products

##### JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
##### Knockout JEE Main April 2021 (Subscription)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
##### Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
##### Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-