3) Consider a car being driven along a straight road. The velocity of the car in m/s at different instants of timeis shown in the following table.| Time(s). 10 110 120 130 40 50Velocity(m/s) 0101552025Draw velocity-time graph for motion of the car. Obtain the value of acceleration of the car from thegraph.
Answers
Given : a car being driven along a straight road. The velocity of the car in m/s at different instants of time .
To Find : Draw velocity-time graph for motion of the car. Obtain the value of acceleration of the car from the graph.
Solution:
Time Velocity
0 0
10 5
20 10
30 15
40 20
50 25
a = dv/dt a = acceleration
a = (change in velocity )/ ( Change in time )
value of acceleration of the car from the graph.
= ( 5 - 0)/(10 - 0)
= 5/10
= 1/2 m/s²
From Graph equation
y = x/2
Slope = 1/2 Hence acceleration = 1/2 m/s²
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