A particle moves in space such that its velocity and acceleration at certain point is given by `vec V=(4hat i)m/s` and `vec a=(6hat i+2hat j-6hat k)m/s^(2)`.The magnitude of component of acceleration (in `m/s^(2)` ) in the direction of velocity (known as tangential acceleration) is

If vec a=2 hat i+ hat k ,\ vec b= hat i+ hat j+ hat k , find the magnitude of vec axx vec bdot

Find the magnitude of vec a give by vec a=( hat i+2 hat j-2 hat k)xx(- hat i+3 hat k)

The velocity and acceleration vectors of a particle undergoing circular motion are v = 2 hat(i) m//s and a = 2 hat(i)+4 hat(j)m//s^(2) respectively at some instant of time. The radius of the circle is

At a particular instant velocity and acceleration of a particle are (-hat(i)+hat(j)+2hat(k))m//s and (3hat(i)-hat(j)+hat(k))m//s^(2) respectively at the given instant particle's speed is :

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+2hat(j)+2hat(k) , find the magnitude of compinent of (vec(A)+vec(B)) along vec(B)

A particle is moving in a circular path. The acceleration and momentum of the particle at a certain moment are a=(4 hat(i)+3hat(j))m//s^(2) and p=(8 hat(i)-6hat(j))"kg-m/s" . The motion of the particle is

A particle is moving in x-y p1ane.At time t =0, particle is at (1m, 2m) and has velocity (4 hat i + 6 hat j) m//s. At t = 4s, particle reaches at (6m, 4m) and has velocity (2 hat i + 10 hat j) m//s. In the given time interval, find (a) average velocity, (b) average acceleration and (c) from the given data, can you find average speed?

A charged particle has acceleration vec a = 2 hat i + x hat j in a megnetic field vec B = - 3 hat i + 2 hat j - 4 hat k. Find the value of x.

A particle of mass 2 kg located at the position (hat i+ hat k) m has a velocity 2(+ hat i- hat j + hat k) m//s . Its angular momentum about z- axis in kg-m^(2)//s is :

A particle is moving with a constant acceleration vec(a) = hat(i) - 2 hat(j) m//s^(2) and instantaneous velocity vec(v) = hat(i) + 2 hat(j) + 2 hat(k) m//s then rate of change of speed of particle 1 second after this instant will be :