(a)[1]
Find $T$
(b)[4]
Given that the distance travelled up to the point where the car starts moving at constant speed is one third of the total distance travelled, find $V$
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
The diagram illustrates a velocity-time graph used to model a car’s motion. It is made up of four straight-line sections. Starting from rest, the car accelerates at a steady rate of $2\,\text{m s}^{-2}$ to reach a speed of $20\,\text{m s}^{-1}$ in $T\,\text{s}$. It then decelerates at a constant rate for $5\,\text{s}$ before moving at the constant speed $V\,\text{m s}^{-1}$ for $27.5\,\text{s}$. After this, the car decelerates to rest at a steady rate over $5\,\text{s}$.