Question

The driver of a car traveling at 36 km/h applies the brake to decelerate uniformly. The car stops in 10 sec. Plot the speed-time graph for this period. find the distance traveled by car during this period by calculating the area under the graph.

Answer 1

Initial velocity of the car $\text{= 36 km/h = 10 m/s}$

Final velocity = 0

Time taken to stop $\text{= 10 sec}$

Speed time graph is as shown -

From the speed-time graph, we can find the distance traveled by finding the area of the graph

So,

Distance travelled = $\frac{1}{2}\times 10\times 10$

After solving,

Distance traveled $\text{= 50 m}$ = 50 m