A boat is traveling at 4.0 m/s as it passes the starting line of a race. If the boat accelerates at 2.0 m/s² for 3.0 seconds, in the same direction as the velocity, then the magnitude of the velocity of the boat after the 3.0 seconds is A) 21 m/s. B) 9.0 m/s. C) 13 m/s. D) 10 m/s. E) 4.0 m/s.

Question

Quizplus · Accepted Answer

To solve this problem, we can use the equation:

v = v0 + at

where:

- v is the final velocity
- v0 is the initial velocity
- a is the acceleration
- t is the time interval

In this problem, we know that:

- v0 = 4.0 m/s
- a = 2.0 m/s^2
- t = 3.0 s

Therefore:

v = 4.0 m/s + 2.0 m/s^2 x 3.0 s = 10 m/s

So the magnitude of the velocity of the boat after 3.0 seconds is 10 m/s. Therefore, the correct answer is (D).

A Boat Is Traveling at 4