Home
Class 12
PHYSICS
The coordinates of a particle moving in ...

The coordinates of a particle moving in XY-plane at any instant of time t are `x=4t^(2),y=3t^(2)`. The speed of the particle at that instant is

Text Solution

Verified by Experts

The correct Answer is:
23

`v_(x)=(dx)/(dt)=8t, v_(y)=(dy)/(dt)=6t " Speed" v=sqrt(v_(x)^(2)+v_(y)^(2))=sqrt((8t)^(2)+(6t)^(2))=10t`
At t=3s, v=30m/s.
Promotional Banner

Similar Questions

Explore conceptually related problems

The coordinates of a particle moving in XY-plane vary with time as x= 4t^(2), y= 2t . The locus of the particle is a : -

The coordinates of a body moving in a plane at any instant of time t are x=alphat^(2) and y=betat^(2) . The speed of the body is.

The coordinates of a particle moving in XY-plane very with time as x=4t^(2),y=2t . The locus of the particle is

If x and y co-ordinates of a particle moving in xy plane at some instant of time are x = t^(2) and y = 3t^(2)

The coordinate of a moving particle at any instant of time t are x = at and y = bt ^(2). The trajectory of the particle is

The position coordinates of a particle moving in X - Y as a function of time t are x =2t^2+6t+25 y = t^2+2t+1 The speed of the object at t = 10 s is approximately

The coordinates of a particle moving in x-y plane at any time t are (2 t, t^2). Find (a) the trajectory of the particle, (b) velocity of particle at time t and (c) acceleration of particle at any time t.

The coordinates of a moving particle at any time t are given by x = ct and y = bt^(2) . The speed of the particle is given by

The coordinates of a moving particle at time t are given by x=ct^(2) and y=bt^(2) . The speed of the particle is given by :-

The co-ordinates of a moving particle at any time t are given by x=ct^(2) and y=bt^(2) The speed of the particle is