A boat is traveling at 4.0 m/s as it passes the starting line of a race. If the boat accelerates at 1.0 m/s² in the same direction as the velocity for 6.0 seconds, then the distance the boat has traveled after 6.0 seconds is A) 42 m. B) 18 m. C) 26 m. D) 20 m. E) 14 m.

Question

Quizplus · Accepted Answer

The distance traveled by the boat can be calculated using the formula for distance under constant acceleration: $d = v_0t + \frac{1}{2}at^2$, where $v_0$ is the initial velocity (4.0 m/s), $a$ is the acceleration (1.0 m/s$^2$), and $t$ is the time (6.0 seconds). Plugging in these values gives $d = 4.0 \times 6.0 + \frac{1}{2} \times 1.0 \times 6.0^2 = 24 + 18 = 42$ meters.

A Boat Is Traveling at 4