1. A car on a straight flat road races a boat on calm canal parallel to the road. The car has a constant acceleration of 1.95 m/s and reaches a top speed of 41.0 m/s. The boat has a constant 2 acceleration of 6.50 m/s and reaches a top speed of 32.0 m/s. The car and the boat accelerate to 2 their top speeds and then maintain their top speeds for the remainder of the race. They race for 1.20 km. Determine which vehicle wins the race.

2. A child attaches a toy car to a bunch of balloons. The child releases the toy car at ground level. Assume the toy car has a constant acceleration of 0.400 m/s and air resistance is 2 negligible. After 12.0 s the toy car detaches from the balloons.

(a) Calculate the height of the toy car at 12.0 s.

(b) Calculate the speed of the toy car at 12.0 s.

(c) How high does the toy car travel above ground level?

(d) How long is the toy car in the air?