State an equation for the work $W$ done by the force, in terms of $a$, $m$ and $s$.
State an equation for the distance $s$, in terms of $a$, $u$ and $v$.
Use your answers in (i) to show that the kinetic energy of the object is given by $\text{kinetic energy} = \frac{1}{2} \times \text{mass} \times (\text{speed})^2$. Explain how you obtain this result.
For the ball’s motion from X to Y, draw a solid line on Fig. 2.1 to show: 1. the distance moved (label this line D); 2. the displacement (label this line S).
By considering energy transfer, determine the height $h$ of point Y above the ground.
On Fig. 2.2, sketch how the kinetic energy of the ball changes with vertical height above the ground as the ball moves from X to Y. No numerical values are required.
For the movement of the ball from X to Y, draw a solid line on Fig. 2.1 to show: 1. the distance moved (label this line D) 2. the displacement (label this line S).
By considering energy transfer, determine the height $h$ of point Y above the ground.
On Fig. 2.2, sketch how the ball’s kinetic energy varies with its vertical height above the ground as it moves from X to Y. No numerical values are needed.