A body moving with uniform acceleration has two points(5, 15) and (20, 60) on the velocity-times graph of its motion. Calculate
Question 1 Report
A body moving with uniform acceleration has two points(5, 15) and (20, 60) on the velocity-times graph of its motion. Calculate
Answer Details
Since the body is moving with uniform acceleration, the graph of its velocity vs time will be a straight line.
Let the initial velocity of the body be u, and the acceleration be a.
From the two given points, we can determine two equations:
1. At t = 5 s, v = 15 m/s:
15 = u + 5a
2. At t = 20 s, v = 60 m/s:
60 = u + 20a
Subtracting equation 1 from equation 2, we get:
45 = 15a
a = 3 m/s^2
Therefore, the acceleration of the body is 3.00 ms^-2.
is the correct answer.
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