[" 1) "2],[" The speed v reached by a car of mass "m" in travelling a distance "x" ,driven with constant "],[" power "P," is given by "]

The velocity v reached by a car of mass m at certain distance from the starting point driven with constant Power P is such that

The velocity 'v' reached by a car of mass 'm' on moving a certain distance from the starting point when driven by a motor with constant power 'P' is such that

Distance between A and B is 450 km. A car and a bus travel from A to B speed of car is 20 km/h more than that of bus. After travelling 2/3rd distance car stops for 2 hours and after that remaining distance is covered at 2/3rd of initial speed and reaches at B. Bus after travelling 1/3rd of distance stops for 1 hour and after that increases its speed by 25% and reaches at B at the same time as the car. Find the speed of bus and car and also find the time taken it took the car and the bus to reach at B.

A block of mass m moving at a speed v compresses a spring throgh a distance x before its speed is halved. Find the spring constant of the spring.

A car of mass m travelling at speed v moves on a horizontal track. The centre of mass of the car describes a circle of radius r . If 2a is the separation of the inner and outer wheels and h is the height of the centre of mass above the ground, show that the limiting speed beyond which the car will overturn in given by v^(2)=(gra)/h

A man in a car at location Q on a straight highway is moving with speed v He decides to reach a point P in a field at a distance d from the highway (point M) as shown in th e figure . Speed of the car in the field is half to that on the highway what should be the distacne RM so that the time taken to reach P is minimum ?