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 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 truck starts from the speed from rest with an acceleration 1.5m/s^2 while a car 150m behind starts from rest with an acceleration of 2m/s^2 . How long will it take before both the truck and car side by side and how much distance is travelled by each ?

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S_1 and that covered in the first 20 seconds is S_2 then

A car accelerates from rest at constant rate of 2m/s^2 for some time. Then it retards at constant rate of 4m/s^2 and comes to rest . If the total time for which it remains in motion is 3 seconds, what is the distance travelled ?

A flywheel in the from of disc is initially at rest . when a constant torque acts on it for one minute , it attains a speed of 600 rpm. calculate the torque if the mass and radius of the disc are 10 kg and 0.4 m respectively.

A particle experiences constant acceleration for 20 seconds after starting from rest.If it travels a distance S_1 in the first 10 second and s_2 in the next seconds, how s_1 and s_2 are related?

The decomposition of N_(2) O_(5) according to the equation, 2N_(2) O_(5) (g) to 4NO_(2) (g) + O_(2) (g) is a first order reaction. After 30 minutes from the start of the decomposition in a closed vessel, the total pressure developed is found to be 284.5 mm of Hg and on complete decomposition, the total pressure is 584.5 mm of Hg. Calculate the rate constant of the reactions.