Answer:
89600 Watts.
Explanation:
From the question given above, the following data were obtained:
Mass (m) of speedboat = 2800 Kg
Initial velocity (u) = 0 m/s
Final velocity (v) = 16 m/s
Time (t) = 8 s
Power (P) expended by the speedboat =?
Next, we shall determine the acceleration of the speedboat. This can be obtained as follow:
Initial velocity (u) = 0 m/s
Final velocity (v) = 16 m/s
Time (t) = 8 s
Acceleration (a) =?
v = u + at
16 = 0 + (a × 8)
16 = 0 + 8a
16 = 8a
Divide both side by 8
a = 16/8
a = 2 m/s²
The acceleration of the speedboat is 2 m/s²
Next, we shall determine the force exerted by the speedboat. This can be obtained as follow:
Mass (m) of speedboat = 2800 Kg
Acceleration (a) of speedboat = 2 m/s²
Force (F) of speedboat =?
F = ma
F = 2800 × 2
F = 5600 N
Finally, we shall determine the expended by the speedboat at maximum speed. This can be obtained as follow:
Force (F) of speedboat = 5600 N
Maximum velocity (v) = 16 m/s
Power (P) expended by the speedboat =?
P = F × v
P = 5600 × 16
P = 89600 Watts
Thus, the power expended by the speedboat is 89600 Watts.
