A point moves along of radius R =10 cm. the path length depends on time according to L=At, where A=1 m/sec. At 5 second after the start of movement.

The position of a particle moving along x-axis depends on time according to the equation x = at^2 +bt^3, where x is in metre and t is in sec. What are the units and dimensions of a and b : what do they represent?

A paricle of mass m moves along a circle of radius R with a normal acceleration varying with time as w_n=at^2 , where a is a constant. Find the time dependence of the power developed by all the forces acting on the particle, and the mean value of this power averaged over the first t seconds after the beginning of motion.

long piece of paper is10 cm wide and is moving uniformly along its length with a velocity of 2 cm//s . An ant starts moving on the paper from point A and moves uniformly with respect to the paper. A spider was located exactly opposite to the ant just outside the paper at point B at the instant the ant started to move on the paper. The spider, without moving itself, was able to grab the ant 5 second after it (the ant) started to move. Find the speed of ant relative to the paper.

A point moves along a circle having a radius 20cm with a constant tangential acceleration 5 cm//s^(2) . How much time is needed after motion begins for the normal acceleration of the point to be equal to tangential acceleration?

A point moves along a circle having a radius 20cm with a constant tangential acceleration 5cm//s^(2) . How much time is needed after motion begins for the normal acceleration of the point to be equal to tangential acceleration?