A battery toy car of mass $0.250 \mathrm{kg}$ is made to move up an inclined plane that makes an angle of $30°$ with the horizontal. The car starts from rest and its motor provides a constant acceleration of $4.0 {\mathrm{ms}}^{-2}$ for $5.0 \mathrm{s}$. The motor is then turned off.

Find the furthest the car gets on the inclined plane.

A battery toy car of mass $0.250 \mathrm{kg}$ is made to move up an inclined plane that makes an angle of $30°$ with the horizontal. The car starts from rest and its motor provides a constant acceleration of $4.0 {\mathrm{ms}}^{-2}$ for $5.0 \mathrm{s}$. The motor is then turned off.

Calculate when the car returns to its starting positions.

A battery toy car of mass $0.250 \mathrm{kg}$ is made to move up an inclined plane that makes an angle of $30°$ with the horizontal. The car starts from rest and its motor provides a constant acceleration of $4.0 {\mathrm{ms}}^{-2}$ for $5.0 \mathrm{s}$. The motor is then turned off.

Sketch a graph of the velocity as a function of time.

A battery toy car of mass $0.250 \mathrm{kg}$ is made to move up an inclined plane that makes an angle of $30°$ with the horizontal. The car starts from rest and its motor provides a constant acceleration of $4.0 {\mathrm{ms}}^{-2}$ for $5.0 \mathrm{s}$. The motor is then turned off.

On the same axes, sketch a graph of the kinetic energy and potential energy of the car as a function of the distance travelled.

A battery toy car of mass $0.250 \mathrm{kg}$ is made to move up an inclined plane that makes an angle of $30°$ with the horizontal. The car starts from rest and its motor provides a constant acceleration of $4.0 {\mathrm{ms}}^{-2}$ for $5.0 \mathrm{s}$. The motor is then turned off

State the periods in the car's motion in which its mechanical energy is conserved.

A battery toy car of mass $0.250 \mathrm{kg}$ is made to move up an inclined plane that makes an angle of $30°$ with the horizontal. The car starts from rest and its motor provides a constant acceleration of $4.0 {\mathrm{ms}}^{-2}$ for $5.0 \mathrm{s}$. The motor is then turned off.

Estimate the average power developed by the car's motor.

A battery toy car of mass $0.250 \mathrm{kg}$ is made to move up an inclined plane that makes an angle of $30°$ with the horizontal. The car starts from rest and its motor provides a constant acceleration of $4.0 {\mathrm{ms}}^{-2}$ for $5.0 \mathrm{s}$. The motor is then turned off.

Determine the maximum power developed by the motor.