We are given the acceleration of the bus as a function of time:
a(t) = 1.2t
Let the velocity also be a function of time v(t).
Since a(t) is the change of v(t) over time, we can use the fundamental theorem of calculus to determine the velocity at t = 2s, or v(2), given that:
a(t) = 1.2t
v(1) = 5
v(2) - v(1) =
v(2) - 5 =
v(2) - 5 = 0.6t² evaluated between t = 1 and t = 2
v(2) - 5 = 0.6(4) - 0.6(1)
v(2) = 1.8 + 5
v(2) = 6.8m/s
Answer:
The force needs to be applied on the 1 square meter piston to lift the machine is 200 N.
Explanation:
Given that,
Force,
Area,
We need to find the force needs to be applied on the 1 square meter piston to lift the machine. We know that the pressure at every point is same due to Pascal's law such that :
So, the force needs to be applied on the 1 square meter piston to lift the machine is 200 N. Hence, this is the required solution.
