P is a point moving with constant speed `10 m//s` such that is velocity vector always maintains an angle `60^(@)` with line OP as shown in figure (O is a fixed point in space). The initial distance between O and P is 100 m.

A particle slides with a speed of 3m s^(-1) at P. When it reaches Q ,it acquires a speed of 4m s^(-1) after describing an angle of 60^(@) at O as shown in figure .Find the changes in the velocity of the particle between P and Q . Assume that the path followed by the particle is circular from P to Q

A particle slides with a speed of 3m s^(-1) at P. When it reaches Q ,it acquires a speed of 4m s^(-1) after describing an angle of 60^(@) at O as shown in figure .Find the changes in the velocity of the particle between P and Q . Assume that the path followed by the particle is circular from P to Q

A ball is projected from the point O with velocity 20 m//s at an angle of 60^(@) with horizontal as shown in figure. At highest point of its trajectory it strikes a smooth plane of inclination 30^(@) at point A. The collision is perfectly inelastic. The maximum height from the ground attained by the ball is (g=10 m//s^(2))

A ball is projected from the point O with velocity 20 m//s at an angle of 60^(@) with horizontal as shown in figure. At highest point of its trajectory it strikes a smooth plane of inclination 30^(@) at point A. The collision is perfectly inelastic. The maximum height from the ground attained by the ball is (g=10 m//s^(2))

If P is a point in space such that OP=12 and vec(OP) is inclied at angle of 45^(@) and 60^(@) with OX and OY respectively, then the position vector of P is

If P is a point in space such that OP=12 and vec(OP) is inclied at angle of 45^(@) and 60^(@) with OX and OY respectively, then the position vector of P is

A particle is moving with constant speed v in xy plane as shown in figure. The magnitude of its angular velocity about point O is

A particle is moving with constant speed v in xy plane as shown in figure. The magnitude of its angular velocity about point O is

A particle moves on a given straight line with a constant speed v. At a certain time it is at a point P on its straight lline path.O is a fixed point. Show than vec(OP)xxvec upsilon is independent of the position P.?

A particle moves on a given straight line with a constant speed v. At a certain time it is at a point P on its straight lline path.O is a fixed point. Show than vec(OP)xxvec upsilon is independent of the position P.?