The velocity time graph shows the motion of a cyclist, find
(i) its acceleration
(ii) its velocity and
(iii) the distance covered by the cyclist in 15 seconds.
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Given:
Velocity time graph
To Find:
(i) its acceleration
(ii) its velocity and
(iii) the distance covered by the cyclist in 15 seconds.
Solution:
we know,
a= (v-u) / t
from the graph it is clear that velocity is always constant
∴ a = (v-v) / t {initial velocity = final velocity}
a = 0
velocity is same throught the journey
so at t = 15 sec
v = 20m/s
distance covered = area under V-T graph
distance covered = 20 * 15 = 300m
d = 300m
So, acceleration = 0 , velocity = 20m/s and distance = 300m.
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