Home
Class 11
PHYSICS
A particle travels so that its accelerat...

A particle travels so that its acceleration is given by `vec(a)=5 cos t hat(i)-3 sin t hat(j)`. If the particle is located at `(-3, 2)` at time `t=0` and is moving with a velocity given by `(-3hat(i)+2hat(j))`. Find
(i) The velocity `[vec(v)=int vec(a).dt]` at time t and
(ii) The position vector `[vec(r)=int vec(v).dt]` of the particle at time `t (t gt 0)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

A particle moves so that its position vector varies with time as vec(r)=A cos omega t hat(i) +A sin omega t hat(j) . If (dvec(r))/(dt) gives instantaneous velocity. Find the initial velocity of particle.

A particle is moving with a position vector, vec(r)=[a_(0) sin (2pi t) hat(i)+a_(0) cos (2pi t) hat(j)] . Then -

A particle is moving with a position vector, vec(r)=[a_(0) sin (2pi t) hat(i)+a_(0) cos (2pi t) hat(j)] . Then -

The position of a particle is given by vec(r) = 3that(i) - 4t^(2)hat(j) + 5hat(k). Then the magnitude of the velocity of the particle at t = 2 s is

If the position vector of a particle is given by vec r= 5t^(2)hat i +7t hat j +4 hat k , then its velocity lies in:

A particle is moving with a position vector, vec(r)=[a_(0) sin (2pi t) hat(i)+a_(0) cos (2pi t) hat(j)] . find Distance travelled by the particle in 1 sec is

A particle move so that its position verctor varies with time as vec r=A cos omega t hat i + A sin omega t hat j . Find the a. initial velocity of the particle, b. angle between the position vector and velocity of the particle at any time, and c. speed at any instant.