2. A car 3.5 m in length approaches an intersection that is 20 m wide. The light turns yellow when the car's speed is 20 m/s and the front of the car is 50 m from the beginning of the intersection. If the driver steps on the brake, the car slows at -3.8 m/s2. If he instead steps on the gas pedal, the car accelerates at 2.3 m/s2. The light stays yellow for 3.0 s. Ignore the driver's reaction time. To avoid being in the intersection at the instant the light turns red, should the driver step on the brake or the gas?
3. A hot-air balloonist, rising vertically with a constant velocity of magnitude of 5.00 m/s, releases a sandbag at an instant when the balloon is 40.0 m above the ground.
(a) How many seconds after its release will the sandbag strike the ground?
(b) With what magnitude of velocity does it strike?
(c) What is the maximum height above the ground that the sandbag reaches?
The solution is comprised of detailed steps of solving two motion related problems.