A snowmobile travels in a straight line. The snowmobileâs initial velocity is + 3.0 m/s.

a. If the snowmobile accelerates at a rate of + 0.50 m/s² for 7.0 s, what is its final velocity?

b. If the snowmobile accelerates at the rate of â0.60 m/s² from its initial velocity of + 3.0 m/s,

how long will it take to reach a complete stop?

a) 6.6m/s² b) 0.5s

Explanation:

Acceleration is the rate of change in velocity. Mathematically,

Acceleration = change in velocity/time

Acceleration = final velocity - initial velocity / time

Given acceleration = 0.50m/s²

Final velocity = ?

Initial velocity = 3.0m/s

Time = 7.0s

Substituting the values in the formula we have,

0.50 = final velocity-3/7

Final velocity - 3 = 0.5*7

Final velocity - 3 = 3.5

Final velocity = 3.5+3

Final velocity = 6.5m/s

b) Similarly, acceleration = final velocity-initial velocity/time

Acceleration = 6.0m/s²

Initial velocity = 0m/s

Final velocity = 3.0m/s

Time = ?

Substituting into the formula

6 = 3.0 - 0/time

6*time = 3.0

time = 3/6

Time = 0.5s

Therefore it will take the snowmobile 0.5s to reach a complete stop.