Question

A battery toy car of mass 0.250 kg is made to move up an inclined plane which makes an angle of $30^{\circ}$ with the horizontal. The car starts from rest and its motor provides a constant acceleration of $4.0 \mathrm{m} \mathrm{s}^{-2}$ for $5.0 \mathrm{s}$ The motor is then turned off. (a) Find the distance travelled in the first 5 s. (b) Find the furthest the car gets on the inclined plane. (c) When does the car return to its starting place? (d) Make a graph of the velocity as a function of time. (e) On the same axes, make a graph of the kinetic energy and potential energy of the car as a function of the distance travelled. (f) In which periods in the car's motion is its mechanical energy conserved? (g) What is the average power developed by the car's motor? (h) What is the maximum power developed by the motor?

          A battery toy car of mass 0.250 kg is made to move up an inclined plane which makes an angle of $30^{\circ}$ with the horizontal. The car starts from rest and its motor provides a constant acceleration of $4.0 \mathrm{m} \mathrm{s}^{-2}$ for $5.0 \mathrm{s}$ The motor is then turned off.
(a) Find the distance travelled in the first 5 s.
(b) Find the furthest the car gets on the inclined plane.
(c) When does the car return to its starting place?
(d) Make a graph of the velocity as a function of time.
(e) On the same axes, make a graph of the kinetic energy and potential energy of the car as a function of the distance travelled.
(f) In which periods in the car's motion is its mechanical energy conserved?
(g) What is the average power developed by the car's motor?
(h) What is the maximum power developed by the motor?

Added by Margaret T.

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