Motion Test - 2...

A car accelerates at a rate of $$5 m{s}^{-2}$$. Find the increase in its velocity in $$2 s$$.

A car moving with speed $$2 \  m/s$$ crosses an electric post and starts accelerating at a constant rate of $$2 \ m/s^2$$. What will be the speed of the car after $$3 \ s$$?

A car moving is with a particular velocity, which has been measured each second and the data is recorded as per the table below.
Velocity               Time
$$0$$                           $$0$$
$$2 \  {m}/{s}$$                   $$1 \ s$$
$$4 \ {m}/{s}$$                   $$2 \ s$$
$$6 \ {m}/{s}$$                   $$3 \ s$$
$$8 \ {m}/{s}$$                   $$4 \ s$$
Calculate the acceleration of the car ?

In which of the following option could represent the ball increasing its speed? 

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

The position-time graphs above represent the motions of cars 1 to 5. How do they rank according to their speeds (greatest first)?

The graph above shows the position versus time for three different cars 1,2, and 3. Rank these cars according to the magnitudes of their velocities, greatest first.

A ball of mass $$m$$ is thrown straight upward from the top of a multi-storey building with an initial velocity of $$15 \ m/s$$.
Find out the time taken by the ball to reach its maximum height?

A car accelerates from rest at a rate of $$4 m/s^2$$ for $$10 \ s$$. Calculate the speed of the car at the end of $$10 \ s$$?
[Unless otherwise stated, use $$g=10m/s^2$$ and neglect air resistance ]

The above graph shows position as a function of time for an object moving along a straight line. During which time(s) is the object at rest?
I. $$0.5$$ seconds
II. From $$1$$ to $$2$$ seconds
III. $$2.5$$ seconds