A particle has an initial velocity of $12 \mathrm{m} {\mathrm{s}}^{-1}$ and is brought to rest over a distance of $45 \mathrm{m}$. Find the acceleration of the particle.

A particle moves in a straight line with an acceleration that varies with time as shown in the diagram. Initially, the velocity of the object is $2.00 \mathrm{m}/\mathrm{s}$. 

Find the maximum velocity reached in the first $6.00 \mathrm{s}$ of this motion.

A particle moves in a straight line with an acceleration that varies with time as shown in the diagram. Initially, the velocity of the object is $2.00 \mathrm{m}/\mathrm{s}$. 

Draw a graph of the velocity versus time.

The graph shows the variation of velocity with the time of an object. Find the acceleration at $2.0 \mathrm{s}$.

The graph shows the variation of the position of a moving object with time. Draw the graph showing the variation of the velocity of the object with time.

The graph shows the variation of the position of a moving object with time. Draw the graph showing the variation of the velocity of the object with time.

The graph shows the variation of the position of a moving object with time. Draw the graph showing the variation of the velocity of the object with time.