Answer:
40.3 m/s
Step-by-step explanation:
We'll begin by calculating the resultant force.
Resultant force = 2000 – 1000 = 1000N
Next we shall determine the acceleration of the car. This is illustrated below:
Mass of the car = 2000kg
Resultant Force = 1000N
Acceleration =.?
Resultant Force = Mass x Acceleration
1000 = 2000 x Acceleration
Divide both side by 2000
Acceleration = 1000/2000
Acceleration = 0.5m/s²
Finally, we shall determine velocity of the car when it has moved 1000m.
Initial velocity (u) = 25m/s
Acceleration (a) = 0.5m/s²
Distance (s) = 1000m
Final velocity (v) =..?
Applying the formula v² = u² + 2as we can obtain the velocity of the car at 1000m as follow:
v² = u² + 2as
v² = 25² + 2(0.5 x 1000)
v² = 625 + 2(500)
v² = 625 + 1000
v² = 1625
Take the square root of both side
v = √1625
v = 40.3 m/s
Therefore, the speed of the car when it has moved 1000m is 40.3 m/s