An electric prototype motorbike is designed for high performance.
Suggest two factors that affect the distance the motorbike can travel before its battery needs to be recharged.
The maximum acceleration of the motorbike is 16 m/s216\text{ m/s}^216 m/s2. Calculate the time taken for the speed of the motorbike to increase from 0 m/s0\text{ m/s}0 m/s to 24 m/s24\text{ m/s}24 m/s at its maximum acceleration. Show your working.
During a high-speed test run on a straight track, the motorbike accelerates from rest (u=0 m/su = 0\text{ m/s}u=0 m/s) at a constant acceleration of 8.0 m/s28.0\text{ m/s}^28.0 m/s2 over a distance of 400 m400\text{ m}400 m to reach its final velocity vvv. Calculate its final velocity vvv. Use the equation:
v2−u2=2as v^2 - u^2 = 2as v2−u2=2asShow your working.
When cruising at its maximum speed, the average resistive force (due to air resistance and mechanical friction) acting on the motorbike is 1200 N1200\text{ N}1200 N. Calculate the work done against this resistive force when the motorbike travels a distance of 4.5 km4.5\text{ km}4.5 km at this speed. Show your working.