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 `:`

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

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

Two particle of masses 100g and 300 g at a given time have positions 2 hat(i)+5hat(j)+13 hat(k) and -6hat(i)+4hat(j)-2hat(k) m respectively and velocities 10 hat(i)-7hat(j)-3hat(k)and 7 hat(i)-9hat(j)+6 hat(k) "ms"^(-1) respectively. Determine the instantaneous position and velocity of CM.

Find the cartesian form of the equation of the plane . bar(r)=(hat(i)+hat(j))+s(hat(i)-hat(j)+2hat(k))+t(hat(i)+2hat(j)+hat(k))

Velocity of a particle at some instant is v=(3hat i + 4hat j + 5hat k) m//s . Find speed of the particle at this instant.

Velocity of a particle at some instant is v=(3hat i + 4hat j + 5hat k) m//s . Find speed of the particle at this instant.

A particle has initial velocity of (3hat(i)+4hat(j)) m//s and a acceleration of (4hat(i)-3hat(j)) m//s^(2) . Its speed after one second will be equal to :-

A particle has initial velocity of (3hat(i)+4hat(j)) m//s and a acceleration of (4hat(i)-3hat(j)) m//s^(2) . Its speed after one second will be equal to :-

A particle has initial velocity of (3hat(i)+4hat(j)) m//s and a acceleration of (4hat(i)-3hat(j)) m//s^(2) . Its speed after one second will be equal to :-