A body starts from rest and accelerates uniformly at 5ms^-2 until it attains a velocity of 25ms-1. Calculate the time taken to attain this velocity
Answer Details
To find the time taken for a body to attain a given velocity with a constant acceleration, we can use the equation:
v = u + at
where:
- v is the final velocity (25 m/s in this case)
- u is the initial velocity (0 m/s since the body starts from rest)
- a is the acceleration (5 m/s^2 in this case)
- t is the time taken
Substituting the given values, we get:
25 m/s = 0 m/s + 5 m/s^2 × t
Simplifying this equation, we get:
t = 25 m/s ÷ 5 m/s^2 = 5 s
Therefore, the time taken for the body to attain a velocity of 25 m/s is 5 seconds.
So the answer is option B - 5.0s.