Question

The position vector of a particle is given by r⃗ =3tî-2t²ĵ+ 4k̂ m where t is in seconds and the coefficients have the proper units for r⃗ to be in metres. (a) Find the v⃗ and a⃗ of the particle? (b) What is the magnitude and direction of velocity of the particle at t = 2.0 s ?

A body of mass m is moving with an acceleration 'a' under the action of a force 'g/4'. The weight of the body is

Force produces an acceleration of a₁ in a body and the same force produces an acceleration of a₂ which is twice to a₁ in another body. If the two bodies are combined and the same force is applied on the combination, the acceleration produced in it is

An object of mass 5 kg is attached to the hook of a spring balance and the balance is suspended vertically from the roof of a lift. The reading on the spring balance, when the lift is going up with an acceleration of 0.25 ms⁻² (g= 10m/s⁻²)