A body moving along a straight line at 20 m/s undergoes an acceleration of 4 m/s2. After 2 s its speed will be (a) 8 m/s (b)10 m/s (c)16 m/s (d)28 m/s
Question
A body moving along a straight line at 20 m/s undergoes an acceleration of 4 m/s². After 2 s its speed will be
- (a) 8 m/s
- (b) 10 m/s
- (c) 16 m/s
- (d) 28 m/s
Solution
The final speed of a body can be calculated using the formula:
v = u + at
where: v = final speed u = initial speed a = acceleration t = time
Given in the problem: u = 20 m/s a = 4 m/s² t = 2 s
Substituting these values into the formula:
v = 20 m/s + 4 m/s² * 2 s = 20 m/s + 8 m/s = 28 m/s
So, the final speed of the body after 2 seconds will be 28 m/s. Therefore, the correct answer is (d) 28 m/s.
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