A small electric car has a maximum constant acceleration of `1m//s^(2)`, a maximum constant deceleration of `2m//s^(2)` and a maximum speed of `20m//s`. The amount of minimum time it would take to drive this car `1km` starting from rest is `(13n)` second. Find value of `n`

A car is to be hoisted by elevator to the fourth floor of a parking garage, which is 14 m above the ground. If the elevator can have maximum acceleration of 0.2 m//s^2 and maximum deceleration of 0.1 m//s^2 and can reach a maximum speed of 2.5 m//s, determine the shortest time to make the lift, starting from rest and ending at rest.

A body undergoing simple harmonic motion has a maximum acceleration of 8 m //s^(2) , and a maximum speed of 1.6 m//s . Find the period and the amplitude of the motion.

A particle in SHM has maximum velocity equals to 36 m/s and maximum acceleration of 216 pi m//s^(2) . The time period of SHM will be

A particle executing S.H.M. has a maximum speed of 30 cm//s and a maximum acceleration of 60cm//s^(2) . The period of oscillation is

The maximum speed of a particle executing SHM is 10 m/s and maximum acceleration is 31.4m//s^(2) . Its periodic time is

A force of 10 N gives a mass m_(1) an acceleration of 10m//s^(2) and a mass m_(2) an acceleration of 20m//s^(2) What acceleration would it give if both the masses are tid together ?

Two cars a and B starts motion with a velocity of 10 m//s and 20 m//s respectively. Car a moves with a constant acceleration of 2.5 m//s^(2) and car B have constant acceleration of 0.5 m//s^(2) as shown in figure. Find when car A will over take car B. Dimension of car is negligible as compare to distance. Find the time after which car A over takes car B.

Engine of a car can produce a maximum acceleration 2 m//s^(2) and its brakes can produce a maximum retardation 3 m//s^(2) . Minimum time in which the car can travel a distance 6 km is:

A car starts accelerating with an acceleration of (1)/(3)m//s^(2) when its speed was 18 km//h . If the desplacement of car in n^(th) minute after it starts accelerating is 4.8km then n is :