An automobile of mass m starts from rest and accelerates at a maximum rate possible without slipping on a road with `mu_(s)=0.5`. If only the rear wheels are driven and half the weight of the automobile is supported on these wheels, how much time is required to reach a speed of 100 `kmh^(-1)`.

A particle starts from rest. Its acceleration at time t=0 is 5 m//s^(2) which varies with time as shown in the figure. The maximum speed of the particle will be

A particle starts from rest. Its acceleration at time t=0 is 5 m//s^(2) which varies with time as shown in the figure. The maximum speed of the particle will be

A particle starts from rest. Its acceleration at time t=0 is 5 m//s^(2) which varies with time as shown in the figure. The maximum speed of the particle will be

A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m//s^(2) for 8.0 s . How far does the boat travel during this time ?

What must be the minimum coefficient of friction mu between the tyres of the drive wheels of a car and the road, if the car and the road, if the car of mass m=2 tons and load M=4 tons, has an acceleration a=0.2 ms^(-2) ? Consider the problem for two cases : (a) all the wheels are driven , (b) only the rear wheels are driven. Assume that the centre of gravity of the car lies at the mid-point between the axes of the wheel and the centre of gravity of the load above the rear axle.

Starting from rest a fan takes 5 s to attain the maximum speed of 400 rpm. Assuming constant acceleration, the time taken by the fan in attaining half the maximum speed is

A motorboat starting from rest on a lake acceleration line at a constant rate of 3.0 m//s^(2) for 8.0 s . How far does the boat travel during this time ?

An automobile starts from rest and accelerates to a final velocity in two stages along a straight road. Each stage occupies the same amount of time. In stage 1, the magnitude of the car's acceleration is 3.0 m//s^(2) . The magnitude of the car's velocity at the end of stage 2 is 2.5 times greater than it is at the end of stage 1. Find the magnitude of the acceleration is stage 2.

An automobile can accelerate or decelerated at a maximum value of 5m//s^(2) and can attain a maximum speed of 90 km hr. It it starts from rest. What is the shortest time in which can travel 80 metre. If it is comes to rest at the end of the 80 metre run ?