A cyclist moving on a level road at 4 m/s stops pedalling and lets the wheels come to rest. The retardation of the cycle has two components: a constant 0.08 `m//s^2` due to friction in the working parts and a resistance of `0. 02v^2//m`, where `v` is speed in meters per second. What distance is traversed by the cycle before it comes to rest? (consider ln 5=1.61).

A bullet going with speed 350 m/s enters concrete wall and penetrates a distance of 5.0 cm before coming to rest. Find the deceleration.

A car acceleration from rest at a constant rate 2m//s^(2) for some time. Then, it retards at a constant rate of 4 m//s^(2) and comes to rest. If it remains motion for 3 second, then the maximum speed attained by the car is:-

Two masses m_1 and m_2 re connected by a spring of spring constant k and are placed on as frictionless horizontal surface. Initially the spring is stretched through a distance x_0 when the system is released from rest. Find the distance moved by the two masses before they again come to rest.

A car starts from rest on a horizontal circular road of radius 190 m and gains speed at a uniform rate 1.2 m//s^(2) . The coefficient of static friction between the road and the tyres is 0.37 . Calculate the distance travelled by the car before it begins to skid.

The speed(v) of a particle moving along a straight line is given by v=(t^(2)+3t-4 where v is in m/s and t in seconds. Find time t at which the particle will momentarily come to rest.

A bus can be stopped by applying a retarding force F when it is moving with speed v on a level road. The distance covered by it before coming to rest is s . If the load of the bus increase by 50% because of passengers, for the same speed and same retarding force, the distance covered by the bus to come to rest shall be

A car starts moving on a straight road. It makes the entire journey in three parts. The total time of journey is 25 s. For first part it accelerates at a constant rate 5m//s^(2) . For second part it moves with a constant speed. For the third part it retards at constant rate 5m//s^(2) to come to rest. Let t_(1) be the time for first part, t_(2) be the time for 2nd part then correct relation is

A car starts moving on a straight road. It makes the entire journey in three parts. The total time of journey is 25 s. For first part it accelerates at a constant rate 5m//s^(2) . For second part it moves with a constant speed. For the third part it retards at constant rate 5m//s^(2) to come to rest. If the average speed for entire journey is 20 m/s, time period of first part of journey is

A car starts moving on a straight road. It makes the entire journey in three parts. The total time of journey is 25 s. For first part it accelerates at a constant rate 5m//s^(2) . For second part it moves with a constant speed. For the third part it retards at constant rate 5m//s^(2) to come to rest. The correct velocity-time graph is

A block is projected along a rough horizontal road with a speed of 10 m/s. If the coefficient of kinetic friction is 0.10, how far will it travel before coming to rest?