Physics 1

Draw the vector and find the X and Y components.
##\vec{A}## = 8m[E 30##^\circ## N]

Find the X and Y components of the vector
##\vec{A}## = 8m[S 40##^\circ## W]

Given F##_x## = -5 N and F##_y## = +8 N find ##\vec{F}##

Add the following vectors to find ##\vec{R}##
##\vec{R}## = 5[N] + 7 [E 30 S] + 4 [S 20 W] + 3 [N 60 W]

Subtract the following vectors to find ##\vec{R}##
##\vec{R}## = 6.0 ##\frac{w}{s}## [E 30 ##^\circ## N] - 8.0 ##\frac{w}{s}## [S 20 ##^\circ## W]

A car drives at 8 m/s [E 30 N], turns the corner and travels 5 m/s [E]. What was it's acceleration if this took 2 s?

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