SUMMER WORK
AP Physics C
Summer 2016
Ms. Liz MacLauchlan: [email protected]
Name:
Assignment:
Vector A is in quadrant 2, vector B is in quadrant 3
5
4
3
2
1
0
-3.5
-3
-2.5
-2
-1.5
-1
-0.5
0
-1
-2
-3
-4
-5
-6
𝐶⃑ = 1𝑖̂ + 6𝑗̂
⃑⃑ = −4𝑖̂ − 67
𝐷
𝐸⃑⃑ = 2, −25 𝑑𝑒𝑔𝑟𝑒𝑒𝑠
𝐹⃑ = 5, 110 𝑑𝑒𝑔𝑟𝑒𝑒𝑠
𝐺⃑ = 2,200 𝑑𝑒𝑔𝑟𝑒𝑒𝑠
⃑⃑ = 9,236.3 𝑑𝑒𝑔𝑟𝑒𝑒𝑠
𝐻
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Convert A into component form
Convert B into magnitude and angle
Convert D into magnitude and angle
Convert G into component form
Show the graphical addition of A+B
Show the graphical subtraction of A-B and B-A
Find C+D, C+E, G+H
Find D-C, F-E, H-G
Using the component form of the dot product, find C*D and D*H
Using magnitude and angle, find the dot product of G*F, D*H and E*F. Do you agree with the result of
your dot product?
11. Find the cross product of the following problems (remember to indicate the magnitude and direction)
a. AxH
b. HxA
c. GxH
d. HxG
e. FxG
f. GxF
g. DxH
h. HxD
12. Careful measurements have been made of Olympic sprinters in the 100m dash. A quite realistic model is
that the sprinter’s velocity is given by the equation below, where t is in seconds, v is in m/s and the
constants a and b are characteristic of the sprinter. Carl Lewis’s run at the 1987 World Championships is
modeled with a=11.81m/s and b=0.6887s^-1.
a. What was Lewis’s acceleration at t=0, 2 and 4 seconds?
b. Find an expression for the distance traveled at time t
13. A rubber ball is shot straight up from the ground with speed v. Simultaneously a second rubber ball at
height h directly above the first ball is dropped from rest.
a. At what height above the ground do the balls collide? Your answer will be an algebraic expression
in terms of h, v, and g.
b. What is the maximum value of h for which a collision occurs before the first ball falls back to the
ground?
c. For what value of h does the collision occur at the instant when the first ball is at its highest point?
14. Suppose you are driving at speed v when a sudden obstacle in the road forces you to make a quick stop. If
your reaction time before applying the brakes is Tr, what constant deceleration do you need to stop in
distance d? Assume d is larger than the car travels during your reaction time.
15. A stunt man drives a car off a 10.0m high cliff at a speed of 20.0m/s. How far does the car land from the
base of the cliff?
16. A baseball player friend of your wants to determine his pitching speed. You have him stand on a ledge and
throw the ball horizontally from an elevation 4.0m above the ground. The ball lands 25m away.
a. What is his pitching speed?
b. As you think about it, you’re not sure he threw the ball exactly horizontally. As you watch him
throw the pitches seem to vary from 5 degrees below horizontal to 5 degrees above horizontal.
What are the lowest and highest speeds with which the ball might have left his hand?
17. A tennis player hits a ball 2.0m above the ground. The ball leaves his racquet with a speed of 20.0m/s at an
angle 5 degrees above the horizontal. The horizontal distance to the net is 7.0m and the net is 1.0m high.
Does the ball clear the net? If so by how much? If not by how much does it miss?