wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Question 8
The speed-time graph for a car is shown in below figure:

(a) Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.
(b) Which part of the graph represents uniform motion of the car?

Open in App
Solution

(a) Distance travelled by car in the 4 second
The area under the slope of the speed - time graph gives the distance travelled by an object.
In the given graph
56 full squares and 12 half squares come under the area slope for the time of 4 seconds.
Total number of squares =56+122=62 squares
The total area of the squares will give the distance travelled by the car in 4 seconds.
On the time axis, 5 squares = 2 s
1 square=25s
On the speed axis, 3 squares =2 ms1
1 square=23 ms1
Area of 1 square =25×23=415 m
Area of 62 squares =415×62
=24815=16.53 m
Therefore, car travels 16.53 m in first 4 seconds.

(b) Part MN of the graph is straight line parallel to the time axis, thus this portion of graph represents uniform motion of car.

flag
Suggest Corrections
thumbs-up
26
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon