A sailboat is moving across the water at 3.0 m/s. A gust of wind fills its sails and it accelerates at a constant 2.0 m/s2. At the same instant, a motorboat at rest starts its engines and accelerates at 4.0 m/s2. After 3.0 seconds have elapsed, find the velocity of the motorboat. (2sigfigs)
V = Vo + a*t = 0 + 4*3 =
To find the velocity of the motorboat after 3.0 seconds, we need to use the kinematic equation:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
For the sailboat, the initial velocity (u) is 3.0 m/s and the acceleration (a) is 2.0 m/s^2. We want to find the velocity (v) after 3.0 seconds, so the time (t) is also 3.0 seconds.
Plugging these values into the equation, we get:
v = 3.0 m/s + (2.0 m/s^2) * 3.0 s
Calculating the expression inside the parentheses first:
(2.0 m/s^2) * 3.0 s = 6.0 m/s
Now we can substitute this value back into the equation:
v = 3.0 m/s + 6.0 m/s
v = 9.0 m/s
Therefore, the velocity of the motorboat after 3.0 seconds is 9.0 m/s.