Physics Vector Review
DIRECTIONS: Complete this exercise on notebook paper. Show diagram &
work. Box answers. Answer to the hundredths. Neatness is a good quality!
25º
13 cm
6in
θ
X
12 in
1.
2. Determine θ
Determine the side (X)
X
35º
9.6 cm
3.
4.2 in
θ
10.7 in
4. Determine θ
Determine the side (X)
5. Brandon’s car accelerates uniformly at a rate of -2.6 m/s2. The car is initially moving at
88.5 m/s. The final velocity of the car is 50.6 m/s. A) How long does it take the car to
reach this final velocity? B) How far does the car travel while reaching its final velocity?
C) What is the average velocity of the car?
6. A robot probe drops a camera off the rim of a 179 meter high cliff on Mars, where the
free fall acceleration in 3.7 m/s2. A) How long in seconds does it take the camera to drop
to the ground? B) Find the velocity at which it impacts the Martian surface.
7. If Nicole rides south on her bicycle in a straight line for 25 minutes with an average
speed of 216.5 km/hr, how far has she ridden? (in km)
8. A boy scout heads straight across a river that is 385 m wide. He can swim at 3.6 m/s.
The river is flowing fast at 7.4 m/s downstream. A) How long does it take him to reach
the other side? B) What is his resultant velocity in respect to the shore (magnitude and
direction) C) How far downstream did he end up?
9. An arrow is launched at an angle of 37º to the horizontal and flies at a velocity of 18.26
m/s. What is the vertical and horizontal component of the arrow’s velocity.
10. A football is launched at an angle of 29º to the horizontal and flies at a velocity of 30.0
m/s. What is the vertical and horizontal component of the football’s velocity.
11. You walk 30 mi west, then 8 mi north, then 6 mi east. What is your displacement
(magnitude and direction) from your starting point? What was your total distance?
12. A tennis ball has a vertical velocity towards the ground on 6.4 m/s. At the same time it
has a horizontal velocity of 12.8 m/s. What is the velocity of the tennis ball relative to
the earth? (magnitude and direction)
13. A boat heads across a river at its widest point of 1.4 km. If the boat has a velcocity of
6.45 m/s and the river is flowing downstream at 2.80 m/s, what is the overall velocity of
the boat in respect to the shore? (magnitude and direction)
14. Refer to the diagram below. What is the direction of the angles indicated?
θ
θ
θ
θ