Question

If an object accelerates at 6.2 m/s², how long will it take to reach a velocity of 25 m/s if starting from rest?

A) 2.5 seconds
B) 4.0 seconds
C) 4.03 seconds
D) 8.06 seconds

Answer 1

To find the time it takes for an object starting from rest to accelerate to a velocity of 25 m/s at an acceleration of 6.2 m/s², we use the formula v = u + at. Solving for time, we get approximately 4.03 seconds.

Step-by-step explanation:

To find the time it takes for an object to reach a specific velocity, we can use the kinematic equation: v = u + at. where v is the final velocity, u is the initial velocity (which in this case is 0 since the object starts from rest), a is the acceleration, and t is the time. Given: Initial velocity (u) = 0 m/s, Acceleration (a) = 6.2 m/s², Final velocity (v) = 25 m/s. Plugging these values into the equation: 25 = 0 + 6.2t, 6.2t = 25, t = 25/6.2 ≈ 4.03 seconds. Therefore, the object will take approximately 4.03 seconds to reach a velocity of 25 m/s from rest.