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 ?

A train travelling at 20 m s^(-1) accelerates at 0.5 m s^(-2) for 30 s. How far will it travel in this time ?

A train starting from rest moves with a uniform acceleration of 0.2 m//s^(2) for 5 minutes . Calculate the speed acquired and the distance travelled in this time.

A body is accelerating at a constant rate of 10 m//s^(2) . If the body starts from rest , how much distance will it cover in 2 seconds ?

A car, starting from rest, moves in a straight line with constant acceleration . 4m//s^(2) After some time, it immediately starts retarding at constant rate 2m//s^(2) until it comes to rest. If the car moved for a total time 18 seconds, the total distance covered is

A particle starting from rest moves with constant acceleration. If it takes 5.0 s to reash the speed 18.0 km/h find a. the average velocity during this period, and b. the distance travelled by the particle during this period.

An object having a velocity 4.0 m/s is accelerated at the rate of 1.2 m/s^2 for 5.0s. Find the distance travelled during the period of acceleration.

A particle starts moving from rest at t=0 with a tangential acceleration of constant magnitude of pi m//s^(2) along a circle of radius 6 m. The value of average acceleration, average velocity and average speed during the first 2 sqrt(3) s of motion, are respectively :

At t=0 and x=0 , an initially stationary blue car begins to accelerate at a constant rate of 2.0m//s^(2) in the positive direction of the x -axis At =t = 2s a red car travelling in an adjecent lane and in the same direction passes x =0 with a speed of 8.0 m//s and a constant accleration of 3.0 m//s^(2) .the time when red car passes the blue car is :

In the overhead view of Fig. 4-40, Jeeps P and B race along straight lines, across flat terrain, and past stationary border guard A. Relative to the guard, B travels at a constant speed of 25.0 m/s, at the angle theta_(2)=30.0^(@) . Relative to the guard, P has accelerated from rest at a constant rate of 0.400m//s^(2) at the angle theta_(1)=60.0^(@) . At a certain time during the acceleration, P has a speed of 40.0 m/s. At that time, what are the (a) magnitude and (b) direction of the velocity of P relative to B and the ( c) magnitude and (d) direction of the acceleration of P relative to B?