a 10kg toy mootorized boat uses 2.0 W of power, has a constant accel from rest and reaches a certain speed in 10 s on a horizontal surface. what was the final speed ?

To find the final speed of a 10kg motorized boat that uses 2.0 W of power and undergoes constant acceleration from rest, we can use the formula:

Power (P) = Force (F) x Velocity (V)

Since we are given the power, we need to determine the force acting on the boat. We can use Newton's second law of motion, which states:

Force (F) = Mass (m) x Acceleration (a)

In this case, the mass is given as 10 kg and the boat starts from rest, so the initial velocity (u) is 0 m/s. We are also given the time taken for the boat to reach the final speed, which is 10 seconds.

First, let's find the acceleration of the boat using the formula:

Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)

Since the boat starts from rest, the final velocity is equal to the final speed. Plugging in the values, we have:

a = (v - 0) / 10

Next, we can substitute the value of acceleration into the force equation:

F = m x a

F = 10 kg x a

Now, let's substitute the force value into the power equation:

P = F x v

2.0 W = (10 kg x a) x v

We can rearrange this equation to solve for the final velocity:

v = 2.0 W / (10 kg x a)

Substituting the value for acceleration obtained earlier:

v = 2.0 W / (10 kg x ((v - 0) / 10))

v = 2.0 W / (10 kg x v / 10)

Now we can cross-multiply to solve for v:

v x 10 kg x v = 2.0 W x 10

10 kg x v^2 = 20 W

v^2 = 20 W / 10 kg

v^2 = 2 m^2/s^2

Taking the square root of both sides, we can find the final velocity (v):

v = √2 m/s

Therefore, the final speed of the toy motorized boat is approximately 1.41 m/s.