Question

1. A plane flying at 90° at 1.00×10^2m/s is blown toward 180° at 5.0×10^2m/s by a strong wind find the plane resultant velocity graphically.

2. A racing car reaches a speed of 42m/s. It then begins a uniform negative acceleration, using its parachute and breaking system, and comes to rest 5.5sec later. Find how far the car moves while stopping.

3.A stone is dropped from a building that is 5cm height.calculate the time it takes to reach the ground and the speed of the stone.

Answer 1

1. The graphic solution is below:

2. The distance:

$$d=2v/t=15.3\text{ m}.$$

3. The time:

$$t=\sqrt{2h/g}=\sqrt{2·0.05/9.8}=0.1\text{ s}.$$