Q 4. The velocity-time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in 15 s and (ii) the time at which the car will catch up with the scooter are, respectively.
(1) 112.5 m and 15 s
(2) 337.5 m and 25 s
(3) 112.5 m and 22.5 s
(4) 225.5 m and 10 s
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Answer:
Correct option is
C
112.5m and 22.5s
The distance traveled in 15 seconds by both will be given by area under curve.
For car, s
1
=
2
1
×15×45
s
1
=337.5m
For scooter, s
2
=15×30
s
2
=450
s
1
−s
2
=112.5m
Suppose after time t, they will meet, then distance traveled by both of them will be equal.
30t=
2
1
×15×45+45×(t−15)
30t=337.5+45t−675
15t=337.5
t=22.5s
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