Question

while
distance between vehicles
travelling on the road?
1. A bus starting from rest moves
with a uniform acceleration of
0.1 m s2 for 2 minutes. Find (a)
the speed acquired, (b) the
distance travelled.
​

Answer 1

Answer:

Here we have, Initial velocity (u) = 0

Acceleration (a) = 0.1ms-2

Time (t) = 2 minute = 120 second

(a) The speed acquired:

We know that, v = u + at

⇒

v

=

0

+

0.1

m

/

s

2

×

120

s

⇒v=0+0.1m/s2×120s

⇒

v

=

120

m

/

s

⇒v=120m/s

Thus, the bus will acquire a speed of 120 m/s after 2 minute with the given acceleration.

(b) The distance travelled:

We know that,

s

=

u

t

+

1

2

a

t

2

s=ut+12at2

⇒

s

=

0

×

120

s

+

1

2

×

0.1

m

/

s

2

×

(

120

s

)

2

⇒s=0×120s+12×0.1 m/s2×(120s)2

=

1

2

×

1440

m

=

720

m

=12×1440m=720m

Thus, bus will travel a distance of 720 m in the given time of 2 minute.