Class 9 Motion Physics
1. A
scooterist covers a distance of 3 kilometres in 5 minutes. Calculate his speed
in:
(a) centimetres
per second (cm/s)
(b) metres
per second (m/s)
(c)
kilometres per hour (km/h)
Solution. (a)
In order to calculate the speed in centimetres per second we should convert the
given distance of 3 kilometres into centimetres and the given time of 5 minutes
into seconds. Please note that 1 kilometre has 1000 metres and 1 metre has 100
centimetres. Now,
Distance
travelled =3 km
= 3 x 1000 m
= 3 x 1000
x100 cm
= 300,000 cm
----------------- (1)
Time taken =
5 minutes
= 5 x 60
seconds
= 300 s ------------------------------ (2)
We know that,
Speed =
Distance travelled / Time taken
= 300,000 cm
/ 300 s
= 1000 cm/s ---------------
(3)
Thus, the speed of scooterist is 1000
centimetres per second.
(b) In order
to express the speed in metres per second we should convert the given distance
of 3 kilometres into metres and the given time of 5 minutes into seconds. Thus,
in this case:
Distance
travelled =3 km
=3 x 1000 m
= 3000 ----------------------
(4)
Time taken =
5 minutes
= 5 x 60
seconds
= 300 s ------------------------(5)
Now, Speed = Distance travelled / Time taken
= 3000 m 300
s
=10 m/s ----------------------
(6)
So, the
speed of scooterist is 10 metres per second.
(c) And
finally, in order to calculate the speed in kilometres per hour, we should
express the given distance in kilometres (which is already so), and the given
time in hours. So, in this case
Distance
travelled = 3 km ---------- (7)
Time taken = 5 minutes
= 5 hours / 60
hours
= 0.083 h
-----------------------------(8)
We know
that, Speed = Distance travelled /
Time taken
= 3 km /
0.083 h
= 36 km/h ----------------------------------
(9)
Thus, the
speed of scooterist is 36 kilometres per hour.
Comments
Post a Comment
Do comments, on which topic do you want the next blog from us i.e. CBSESolver