A car moves along a straight horizontal road with constant acceleration $$\(a \mathrm{~ms}^{-2}\)$$ where $$\(a> 0\)$$ The car is modelled as a particle. At time $$\(t=0\)$$, the car passes point $$\(A\)$$ and is moving with speed $$\(u \mathrm{~m} \mathrm{~s}^{-1}\)$$ In the first three seconds after passing $$\(A\)$$ the car travels $$\(20 \mathrm{~m}\)$$. In the fourth second after passing $$\(A\)$$ the car travels $$\(10 \mathrm{~m}\)$$. The speed of the car as it passes point $$\(B\)$$ is $$\(20 \mathrm{~m} \mathrm{~s}^{-1}\)$$ Find the time taken for the car to travel from $$\(A\)$$ to $$\(B\)$$. (8)

Answer:

Knowledge points:

Solution: