Question

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 sailboat.

Answer 1

v = 9 m/s

Step-by-step explanation:

It is given that,

Initial speed of the sailboat, u = 3 m/s

Acceleration of the sailboat,
`a=2\ m/s^2`

Initial speed of the motorboat, u = 0

Acceleration of the motorboat,
`a=4\ m/s^2`

Time elapsed, t = 3 s

To find,

The velocity of the sailboat

Solve,

Let v is the velocity of the sailboat after 3 seconds. By using the equation of kinematics, it can be calculated.

`v=u+at`

`v=3\ m/s+2\ m/s^2* 3\ s`

v = 9 m/s

Therefore, the velocity of the sailboat is 9 m/s.