01
A car is mowing on a straight road with uniform
acceleration. The speed of the car varies with
time as follows:
Time(s) : 0, 2,4,6,8,10
Speed (m/s): 4,8,12, 16, 20, 24
Draw the speed-time graph by choosing a convenient
scale. From this graph -
1) Calculate the acceleration of the car
2) Calculate the distance travelled by the care
in 10 seconds.
Answers
Answered by
1
We have to find the acceleration from the given graph.
Acceleration = slope of line
=
(
12
−
4
)
(
4
−
0
)
m/s
2
=
2
m/s
2
(12-4)(4-0)m/s2=2m/s2
(ii) Distance travelled by the car is given by the area enclosed by the curve.
s =
(Sum of parallel sides)(Height)
2
(Sum of parallel sides)(Height)2
=
(
4
+
24
)
(
10
)
2
(4+24)(10)2 m
= 140 m
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