Home
Class 11
PHYSICS
A particle moves along the positive bran...

A particle moves along the positive branch of the curve `y = (x^(2))/(2)` where `x = (t^(2))/(2),x` and y are measured in metres and t in second. At `t = 2s`, the velocity of the particle is

A

`2 hati - 4 hatj ms^(-1)`

B

`4 hati +2 hatj ms^(-1)`

C

`2 hati + 4hatj ms^(-1)`

D

`4 hati - 2hatj ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
As, `v_(x) = (dx)/(dt) = (2t)/(2) = t`
At `2s, v_(x) = 2ms^(-1)`
Further, `y = (x^(2))/(2) = ((t^(2)//2)^(2))/(2) = (t^(4))/(8) rArr v_(y) = (dy)/(dt) = (t^(3))/(2)`
At `t = 2s, v_(y) = 4ms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • MOTION

    DC PANDEY|Exercise Check Point 4.2|20 Videos

  • MOTION

    DC PANDEY|Exercise Check Point 4.3|10 Videos

  • MOTION

    DC PANDEY|Exercise Medical entrances gallery|19 Videos

  • MEASUREMENT AND ERRORS

    DC PANDEY|Exercise Subjective|19 Videos

  • MOTION IN A PLANE

    DC PANDEY|Exercise (C )Medical entrances gallery|32 Videos

Similar Questions

Explore conceptually related problems

A particle moves along 1 ositive branch of the curve y=(x)/(2) where x=(t^(3))/(3) , x and y are measured in metres and t in seconds, then-

A particle moves along the positive branch of the curve y =2x2where x =2t2,where x and y are measured in metre and t in second. At t = 2 sec, the velocityof the particle is -

A particle moves along positive branch of the curve, y = x/2, where x = t^3/3 , x and y are measured in meters and t in seconds, then

A particle moves along the positive branch of the curve with x governed by where x and y are measured in meters and t in seconds. At t = 2s, the velocity of the particle is

A particle moves on the curve y = x^(2)/4 where x=t/2. x and y are meausured in metre and t in second. At t=4s the velocity of particel is

A particle moves along the curve y = x^2 /2. Here x varies with time as x = t^2 /2. Where x and y are measured in metres and t in seconds. At t = 2 s, the velocity of the particle (in ms^-1 ) is

Completion type Question : The position coordinate of a moving particle is given by x = 6 + 18t + 9t^(2) (x is in metres and t in seconds) At t = 2s, the velocity of the particle will be …………

Standing waves are produced by superposition of two waves y_(1) = 0.05 sin(3pi t - 2x), y_(2) = 0.05 six(3pi t +2x) where x and y are measured in metre and t in second. Find the amplitude of the particle at x = 0.5m.

A particle moves along the curve y^(2) = 2x where x = (t^(2))/(2) & y gt 0 . What is the acceleration of the particle at t = 2s ?

A particle is moving along x-axis. The position of the particle at any instant is given by x= a+bt^(2) where ,a= 6 m and b= 3.5 ms^(-2) 't' is measured in second .Find (i) the velocity of the particle at 1s and (ii) the average velocity between 3s and 6s