(b)Write the equation of motion of distance travelled (i) when the body starts from rest. (ii) when the body is moving with a uniform retardation.
i) S=ut+1/2*a*(t^2)
ii)S=ut-1/2*a*(t^2) Or (v^2)-(u^2)=2*a*S
Answers
Answer:
(b)Write the equation of motion of distance travelled (i) when the body starts from rest. (ii) when the body is moving with a uniform retardation.
i) S=ut+1/2*a*(t^2)
=-4/3*
ii)S=ut-1/2*a*(t^2) Or (v^2)-(u^2)=2*a*S
= -5/7*
Answer:
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CBSE Class 9 - Ask The Expert
Answered
Derive the second equation of motion s = ut + (1/2)at2 using the velocity
Expert Answer:
Consider the linear motion of a body with an initial velocity u. Let the body accelerate uniformly and acquire a final velocity v after time t. The velocity–time graph is a straight line AB as shown below.
At t = 0, initial velocity = u = OA
At t = t, final velocity = v = OC
The distance S travelled in time t = area of the trapezium OABD
s = (1/2) x (OA + DB) × OD
s = (1/2) x (u + v) × t
Since v = u + at,
s = (1/2) x (u + u + at) × t
s = ut + (1/2) at2
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