Question

A car starts moving rectilinearly Ginitial velocity vero) first with an acceleration of 5 ms2 then uniformly
and finally decelerating at the same rate till it stops. Total time of journey is 25s and average velocity
during the journey is 72 km/h.
1. Total distance travelled by the car is
a) 5 m
b) 50 m
C)500 m
d) 5000 m
Maximum speed attained during the journey is
10 a) 2.5 ms-1
b) 25 ms
C) 10 ms-1
d) 12.5 ms
12. Car travels with uniform speed for time
a) 1.5 s
b) 7.5 s
c) 20 S
d) 15 s​

Answer 1

Explanation:

Solution :

Let

be the time up to which the car accelerates or decelerates. The maximum velocity attained in this duration is

, The time upto which car moves uniformly

The average velocity from the graph can obtained as

=((1)/(2)xx[50-2t)]xx5t)/(25)

200=50 t-2t^(2)

rArr t^(2)-25t+100=0

rArr (t-20) (t-5) =0 rArrt=5 s

20 s

t=20 s

t=5 s

=25-2t=25- 2xx5

maz speed =25m s

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