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
θ
1. Determine the side (X) 2. Determine θ
35º θ
3. Determine the side (X) 4. Determine θ
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,θ 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, θ and direction in reference to horizontal axis) from your starting point? What was your total distance? Show this graphically.
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, ie. To the horizontal axis? (magnitude, θ 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, θ and direction)
14. Refer to the diagram below. What is the direction of the angles indicated?