CCEA GCSE Further Mathematics Unit 2 Mechanics overview quiz quiz

A car accelerates uniformly from rest to $18$ m/s in $6$ s. What is its acceleration?

A stone is dropped from rest. Taking $g = 9.8$ m/s$^2$, how far does it fall in $2$ s?

On a velocity-time graph, the area under the line represents:

A particle has displacement $s = t^3 - 2t$. What is its velocity?

A particle has acceleration $a = 4t$ and velocity $1$ m/s at $t = 0$. Find its velocity.

Find the speed of a particle with velocity $\mathbf{v} = (3\mathbf{i} - 4\mathbf{j})$ m/s.

A resultant force of $12$ N acts on a $3$ kg mass. Find the acceleration.

What is the weight of a $7$ kg mass? (Take $g = 9.8$ m/s$^2$.)

A block rests on a rough floor with $R = 50$ N and $\mu = 0.4$. Find the limiting friction.

A $5$ kg block on a smooth floor is pushed by $15$ N. A $20$ N friction limit would mean the block:

Two masses $4$ kg and $6$ kg hang over a smooth pulley. What is true of the string tension?

Find the momentum of a $2$ kg ball moving at $7$ m/s.

A $3$ kg trolley at $4$ m/s strikes a stationary $1$ kg trolley and they join. Their common speed is:

A projectile is launched at $20$ m/s at $60^\circ$. Its horizontal component of velocity is:

For a projectile, at the maximum height the vertical component of velocity is:

A ball is thrown vertically up at $14$ m/s. Taking $g = 9.8$ m/s$^2$, the time to the highest point is: