Answer to Question #230695 in Physics for Nesla

Question

A car starts from rest and accelerated uniformly for 5s until it attains a velocity of 3m^-1. It then travels with uniform velocity for 15s before decelerates uniformly to rest in 10s.

1. Sketch a graph of motion
2. Using the graph above , calculate the:

• acceleration during the first 5s.
• Deceleration during the last 10s and total distance covered through the motion

Answer 1

$$a_1=\frac{3}{5}=0.6\frac{m}{s^2}\\ a_2=\frac{3}{10}=0.3\frac{m}{s^2}\\S=0.5(3)(5)+(3)(15)+0.5(3)(10)=67.5\ m$$