DSHS Physics Mathy
StudyGuide 2
Vectors/ Projetiles
Name:
Per:
1. How does a vector differ from scalar? Explain.
2. Why is speed classified as a scalar and velocity as a vector ?
3. In drawing vector to scale, if 1cm = 5N then 4cm will represent a vector with a magnitude of_________N !
4. Solve for the missing part of these triangle
X
y
16
35 deg
60deg
100
x
 = 55
120
5. There are two ways to solve vectors; graphically and mathematically . Vector A is 3 units in length along the positive x- axis .
Vector B is 4 units in length and points along the negative y axis, graphically solve for the magnitude and direction of the following
vectors....
a) A + B
b) A-B
c)A + 2B
d) B-A
6. After walking 11 km due north from camp, a hiker then walks 11 km due east.
a) what is the total distance walked by the hiker
b) what is the hikers displacement (solve mathematically )
7. Two boys are pushing on a box. Jay pushes with ? to the right, Bob pushes with 150N to the left. What is the size and direction of
Jay's force if the Net force is + 200N ? Draw the vectors acting from one point.
8. What is the “head to tail” method?
9. Calculate the resultant vector of 3N North acting on 4N East. Draw and solve (remember direction in degrees)
10. A dog searching for a bone walks 3.5m south, then 8.20m at an angle of 30.0 north of east, then finally 15.0m west. Use
graphical techniques to find the dog’s displacement vector!
11. While flying due east at 120 km /hr an airplane is carried northward at 45 km/hr by a strong wind.
a) What is the plane’s resulting velocity w/ direction.
b) What is its displacement over a 60 sec time period
12. A hurricane blows a pelican 40 km/hr at a bearing of 60.0 degrees.
a) What is the vertical ( y component) of this vector ?
b) What is the horizontal ( x component) of this vector ?
Projectiles
13. . Recalling linear motion, show the following big 5 equations for the x dimension only (find unit notes on ch 2 )
14. Recalling free fall in the y dimension, list the following constants and equations equations
15. For freefall , Calculate the distances for time given(show work!)
a) 2.5 secs=
5. Now Calculate the freefall velocity for time
a) 2 .5 secs=
b) 3 secs =
b) 3 secs=
c) 1 min =
c) 1 min=
16. You throw a football to a friend as hard as a you can !. One is thrown at 20 degrees loft, the other is at 70 degrees, which goes
the farthest ?
17. If you want to shoot an arrow with the farthest possible range in mind, the best launch angle to use is?
18.A car drives off a cliff with a horizontal velocity of 20 m/s. If the cliff is 40m high, how far away from the cliff does the car land (x
marks the spot!)?
b) If the car drove off the cliff at 40m/s,how far would it land?
X
19. The same car crashed off a new cliff (bad luck).The cliff was now 150m high. If the car was found 400 m from the base of the cliff,
how fast was the car going the moment it left the cliff ?
20.A punter kicks a football with a trajectory of 60 deg at 35 m/s.
a) How high does the ball go?
b) Calculate its range ?
c) How much time did it spend in the air total (Hint: think vy here!)
21. Calculate the maximum range covered by a golfer
who hit a ball at 60 m/s @ 15 deg, 45 deg,and 75 deg
22. Mathy jumps off a 3 story building into a pool. The pool is
3.5 m from the house (which is 15m tall). If his vix= 3.5 m/s :
a) Calculate time to hit pool
b) Will he make it into pool if pool is 10m long?