A wheel starting from rest is rotating with constant angular acceleration of 2 `rad/s^2`. A student notes that it traces an angle of 80 radians in 4 sec interval. What was the angular velocity of the wheel, when the student started his observation ?

A rigid body rotates through an angle of 270^@ in 2 seconds. what is its average angular velocity in radian/second?

A lift starts from rest with constant upward acceleration . It moves 1.5m in the first 0.4 secs. A person standing in the lift hold a packet of 2 kg by a string. Calculate the tension in the string during the motion.

A bus starts from rest with a constant acceleration of 5m/s^2 . At the same time , a car travelling with a constant velocity of 50m/s overtakes and passes the bus ,find (i)at what distance will the bus overtake the car ? (ii)How fast will the bus overtakes the car after distance S metres.

A coin is placed on a rotating turn table rotated with angular speed w. The coin just begins to slip if it is placed at 4 cm from the centre of the table. If the angular velocity is doubled, at what distance will the coin start to slip ?

Starting from the rest , a body P travels with a uniform acceleration of 4m/s^2 and starting from rest from the same point 4s later , a body Q travels with a uniform acceleration of 16m/s_2 in the same direction as P . Find when and where they meet .