Final answer:
The vehicle's acceleration is 4 m/s², and its momentum after reaching the velocity of 20 m/s is 150000 kg*m/s.
Step-by-step explanation:
The problem given is a physics question involving concepts of acceleration and momentum. To find the vehicle's acceleration, we use the formula:
a = Δv / Δt
where Δv is the change in velocity and Δt is the change in time. Given the vehicle starts from rest (initial velocity of 0 m/s) and reaches 20 m/s in 5 seconds, the vehicle's acceleration is:
a = (20 m/s - 0 m/s) / 5.00 s = 4 m/s²
For the vehicle's momentum, the formula is:
p = m * v
where m is mass and v is velocity. The vehicle's momentum after reaching the final velocity is:
p = 7500 kg * 20 m/s = 150000 kg*m/s
Therefore, the vehicle's acceleration is 4 m/s² and its momentum is 150000 kg*m/s.