Question

A block starts from rest and accelerates at a rate of 2.5 meters per second^2 for 6 seconds. Calculate the final velocity of the block.

a) 15 m/s
b) 10 m/s
c) 25 m/s
d) 5 m/s

Answer 1

The final velocity of a block that accelerates at 2.5 m/s² for 6 seconds is 15 m/s, calculated using the equation v = at.

Step-by-step explanation:

The question involves calculating the final velocity of a block that starts from rest and accelerates at a constant rate. According to the physics kinematic equations, the final velocity v of an object that starts from rest can be calculated using the equation v = at, where a is the acceleration and t is the time of acceleration.

In this case, the block starts from rest (initial velocity is 0 m/s) and accelerates at 2.5 meters per second squared for a duration of 6 seconds. Plugging these values into the equation:

v = 2.5 m/s² × 6 s = 15 m/s.

Therefore, the final velocity of the block is 15 m/s, which corresponds to option (a).