physics question motion and forces

Question

Daniel and Scott are playing with remote control cars around the house. Scott's car starts out at rest and accelerates to 2 m/s in 4 seconds. Scott then continues driving his car in a straight line at a constant speed for the next 2 seconds until hitting the couch and abruptly coming to a stop.

Daniels car travels at a constant speed of 2.5 m/s for 2 seconds and then hits a wall and come to an abrupt stop. after sitting stationary for 2 seconds Daniels car begins to travel in the opposite direction at 1 m/s for another 3 seconds.

a. draw a velocity vs time graph for scott's car over the 6 seconds of time before hitting the couch

b. draw the position vs time graph for daniels car.

c. draw the free body diagram for daniels car while traveling at a constant speed

d. draw the free body diagram of scotts car while accelerating during the first 2 seconds.

Answer 1

a.

b.

c.

where F_N is the normal force, F_G is the force of gravity, F_P is the propulsion force, and F_D is the drag force and F_N = F_G, F_P = F_D

d.

where F_N is the normal force, F_G is the force of gravity, F_P is the propulsion force, and F_D is the drag force and F_N = F_G, F_P > F_D