Home
Class 11
PHYSICS
The engine of a motoecycle can produce a...

The engine of a motoecycle can produce a maximum acceleration of `5 m//s^(2)`. Its brakes can produce a maximum retardation of `10 m//s^(2)`. What is the minimum time in which the motorcycle can cover a distance of `1.5 km`?

A

30sec

B

15sec

C

10sec

D

5sec

Text Solution

Verified by Experts

The correct Answer is:
A
During acceleration –
`t_1 = (v_(max))/(alpha)`

During retardation
`t_2 = (v_(max))/(beta)`
`t_1 + t_2 = t`
`v_(max) = (alpha beta t)/(alpha + beta)`
Average acceleration ` = (alpha beta)/(alpha + beta)`
Distance (s) ` = 1/2 ((alpha beta)/(alpha + beta)) t^2`
`rArr 1500 = 1/2 ((5 xx 10)/(15))t^2`
`t = sqrt((2 xx 15 xx 1500)/(5 xx 10)) = 30sec`
Promotional Banner

Similar Questions

Explore conceptually related problems

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:

The accelerator of a train can produce a uniform acceleration of 0.25ms^(-2) and its brake can produce a retardation of 0.5ms^(-2) The shortest time in which the train can travel between two stations 8 km apart is x minuts and 10 s, if it stops at both stations. The value of x 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 racing car has a uniform acceleration of 4 m//s^(2) . What distance will it cover in 10 s after start ?

The maximum velocity for particle in SHM is 0.16 m/s and maximum acceleration is 0.64 m//s^(2) . The amplitude is

The engine of a car produces acceleration 4m//s^(2) in the car. If this acr pulls another car of same mass, what will be the acceleration produced

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 ?

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 force of 2N gives a mass m_(1) an acceleration of 5m//s^(2) and a mass m_(2) an acceleration of 7m//s^(2) . What acceleration would be produced if both the masses are tied together?