t. A busstarting from rest moves with uniform acceleration of 0.1 ms–2 for 2 minutes. Find(a) the speed acquired.(b) the distance traveled.

(a) The speed acquired

The formula to calculate the speed (v) is:

v = u + at

where: u = initial speed = 0 (since the bus starts from rest) a = acceleration = 0.1 m/s² t = time = 2 minutes = 120 seconds (since 1 minute = 60 seconds)

Substituting the values into the formula, we get:

v = 0 + 0.1 * 120 v = 12 m/s

So, the speed acquired by the bus is 12 m/s.

(b) The distance traveled

The formula to calculate the distance (s) is:

s = ut + 0.5at²

where: u = initial speed = 0 (since the bus starts from rest) a = acceleration = 0.1 m/s² t = time = 2 minutes = 120 seconds (since 1 minute = 60 seconds)

Substituting the values into the formula, we get:

s = 0 * 120 + 0.5 * 0.1 * (120)² s = 0 + 0.5 * 0.1 * 14400 s = 720 m

So, the distance traveled by the bus is 720 m.