Answer :
A 5.0 kg object with a uniform acceleration of 4.0 m/s² has a momentum of 60. kg.m/s at 3.0 s.
What is momentum?
Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.
- Step 1: Calculate the acceleration of the object.
The object accelerates from rest to 20.0 m/s in 5.0 s.
Acceleration (a) is the change in velocity (v) over time (t).
a = Δv / t = (20.0 m/s - 0 m/s) / 5.0 s = 4.0 m/s²
- Step 2: Calculate the velocity at 3.0 s.
We will use the following suvat equation.
v = u + a . t = 0 m/s + 4.0 m/s² . 3.0 s = 12 m/s
- Step 3: Calculate the momentum (p) of the object at 3.0 s.
We will use the definition of momentum.
p = m . v = 5.0 kg . 12 m/s = 60. kg.m/s
A 5.0 kg object with a uniform acceleration of 4.0 m/s² has a momentum of 60. kg.m/s at 3.0 s.
Learn more about momentum here: https://brainly.com/question/7538238