The acceleration of a motorcycle is given by...?
The acceleration of a motorcycle is given by a=At-Br^2 where A=1.20 m/s^3 and B=0.120 m/s^3. It is at rest at the origin at time t=0 s.
a.) What is it's position and velocity as functions of time?
b.) What's the maximum speed it attains?
The acceleration of a motorcycle is given by a=At-Br^2 where A=1.20 m/s^3 and B=0.120 m/s^3. It is at rest at the origin at time t=0 s.
a.) What is it's position and velocity as functions of time?
b.) What's the maximum speed it attains?
1 Answer
Please see the explanation below
Explanation:
The acceleration is
The velocity is the integral of the acceleration
Plugging in the initial conditions
Therefore,
So,
The velocity is
The position is the integral of the velocity
Plugging in the initial conditions
Therefore,
The position is
The maximum speed is when
Therefore,
The maximum velocity is
See the graph of velocity v/s time
graph{0.6x^2-0.04x^3 [-4.93, 52.82, -2.02, 26.85]}