Final answer:
The acceleration is (v - 40) / 10, the distance travelled is 400 + 1/2 * (v - 40) * 100, and the force applied is 500 * ((v - 40) / 10).
Step-by-step explanation:
To find the acceleration, we can use the equation:
a = (v - u) / t
Where:
- a is the acceleration
- v is the final velocity
- u is the initial velocity
- t is the time
Plugging in the given values, we have:
a = (v - u) / t = (v - 40) / 10
To find the distance travelled, we can use the equation:
s = ut + 1/2at^2
Where:
- s is the distance
- u is the initial velocity
- t is the time
- a is the acceleration
Plugging in the given values, we have:
s = ut + 1/2at^2 = 40*10 + 1/2 * (v - 40) * 10^2
To find the amount of force applied, we can use Newton's second law:
F = ma
Where:
- F is the force
- m is the mass
- a is the acceleration
Plugging in the given values, we have:
F = ma = 500 * ((v - 40) / 10)