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The distance time graph of a particle at...

The distance time graph of a particle at time `t` makes angle `45^(@)` with respect to time axis. After `1s`, if makes angle `60^(@)` with respect to time axis. What is the acceleration of the particle?

A

`1/2`

B

`sqrt3/2`

C

`(sqrt3-1)/2`

D

`(sqrt3+1)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Initial velocity Velocity, ` u = tan 45^(@) =1`
Velocity after `2s, v = tan 60^(@) = sqrt3`
`:.` Average acceleration , `a_(av) = (v-u)/1 = (sqrt3-1)/2`
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