A car of mass m, initially at rest at time
t = 0, is driven to the right as shown along a
straight, horizontal road with the engine caus-
ing a constant force ~F to be applied. While
moving, the car encounters a resistance force
equal to −k ~v, where ~v is the velocity of the
car and k is a positive constant.
Use a dot to represent the center of mass
of the car. And on the figure, draw and label
vectors to represent all the forces acting on
the car as it moves with a velocity ~v to be the
right.
I found the horizontal acceleration of the car to be
a = (Fo − k v)/m
The next part i dont get.
Derive the equation expressing the velocity of the car as a function of time t.
t = 0, is driven to the right as shown along a
straight, horizontal road with the engine caus-
ing a constant force ~F to be applied. While
moving, the car encounters a resistance force
equal to −k ~v, where ~v is the velocity of the
car and k is a positive constant.
Use a dot to represent the center of mass
of the car. And on the figure, draw and label
vectors to represent all the forces acting on
the car as it moves with a velocity ~v to be the
right.
I found the horizontal acceleration of the car to be
a = (Fo − k v)/m
The next part i dont get.
Derive the equation expressing the velocity of the car as a function of time t.