# Physics 1

A car accelerates at 3 m/s$^2$ from rest for 10 s. How far does it travel?

A car is moving at 100 km/h. It stops in 5.0 s. What is the car's acceleration?

A ball is thrown off a building. If the ball is thrown up at 5 m/s and lands 3 seconds later

Find the height of the building

Find the impact velocity of the ball

A key falls from a bridge that is 45 m above the water. It falls directly onto a model boat moving with constant velocity that is 12 m in front of the point of impact when the key is released. What is the speed of the boat?

An object is projected straight upward from the ground level with a velocity of 50 m/s. Ignoring air resistance, it will return to the ground in approximately how many seconds?

A Jogger runs with constant speed $v$ through a forest of pine trees. A pine cone starts to fall from a height $h$ when the jogger is directly below it. How far behind the jogger will the pine cone land?

A ball is thrown downward with a speed of 15 m/s from the roof of a 30 m building. At the same instant a ball is thrown upward with a speed of 15 m/s from ground level. Relative to ground level, at what height do the two balls pass each other?

A swimmer can swim with a velocity of 1.0 m/s in still water. The swimmer wishes to swim directly across a river with a current of 0.50 m/s directed from upstream to downstream. To end up directly across the river the swimmer must head at what angle?

In a rescue attempt, a hovering helicopter drops a life preserver to a swimmer being swept downstream by a river current of a constant velocity v. The helicopter is at a height of 9.8 m. The swimmer is 6.0 m upstream from a point directly under the helicopter when the life preserver is released. It lands 2.0 m in front of the swimmer. How fast is the current flowing? Neglect air resistance.

13.7 m/s

9.8 m/s

6.3 m/s

2.8 m/s

A river is 300 m wide and the water flows downstream, exactly south, at 4 m/s. If a swimmer, moving at exactly 6 m/s, attempts to swim across the river:

At what direction should the swimmer orient himself to swim straight across the river in the east direction?

How long will it take the swimmer to across the river?

A pilot flys a plane at 120k km/h [E] with the wind from [W 30 S] @ 60 km/h. Find the resulting velocity.

A pilot flys a plane to a town that is 600km [N 30 E] and wants to arrive in 3 hours. The wind is from the west @ 60 km/h. What is the air speed and heading?

A pilot want to fly to a town 500km [N 38 E]. The plane is designed to fly at 170 km/h. The wind is from the west @ 60km/h. Find the heading, ground speed, and E.T.A.

A child tosses a ball directly upward. Its total time in the air is T. Its maximum height is H. What is its height after it has been in the air at time T/4? Neglect air resistance.

H/4

H/3

H/2

2H/3

3H/4