A car accelerates uniformly from rest until it reaches a speed of $30$ m/s in $20$ s. Calculate

Question

A car accelerates uniformly from rest until it reaches a speed of $30$ m/s in $20$ s. Calculate the acceleration of the car. The car continues to accelerate but at a slower rate for a further $30$ s until it reaches a speed of $40$ m/s. Then the car begins to slow down with uniform retardation of $2.5$ m/s$^{2}$. Draw the speed-time graph for the first $50$ seconds of the journey. Calculate the distance it travels during the period from $t=20$ to $t=50$. Calculate how long it would take for the car to come to rest. On the diagram in the answer space below, sketch the acceleration-time graph of the car for the entire journey. Indicate clearly the values on the vertical and horizontal axes.

Accepted Answer

(a) $1\frac{1}{2}$ m/s$^2$, (b)(ii) $1050$ m, (b)(iii) $66$ s

Kinematics Analysis: Motion of a Car via Speed-Time and Acceleration-Time Graphs

Kinematics Analysis: Motion of a Car via Speed-Time and Acceleration-Time Graphs

Video Solution:

Solution:

Handwritten & Typed Solutions