A particle starts its motion with the velocity of 1.5 m/s. Its (a – t) graph is given
below.
Find its velocity (in m/s) at t = 0.5s
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Given:
The initial velocity of the particle = 1.5 m/s
To find:
The velocity of the particle when t= 0.5 s.
Solution:
Let us first find out the acceleration at t = 0.5 s. From the graph we can conclude that the acceleration at t=0.5 s is 10 m/s². We know that one of the laws of motions is:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time period.
Now, substituting the values in the formula, we get:
v = 1.5 + 10 (0.5)
v = 1.5 + 5
v = 6.5 m/s
The velocity of the particle will be 6.5 m/s.
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