Trig
You have the lengths of two sides in a triangle and need to find the length third side. What are you going to use to find it?
Pythagorean theorem
A hiker walks south then west. What is the direction of their displacement?
W of S
A lemming runs at 10 m/s off of a 5 m cliff side. What is their displacement as they hit the ground?
-10 m
A pirate runs at 3 m/s horizontally off the plank and hits the water 1.2 seconds later. How far away from the ship does the pirate hit the water?
3.6 m
When playing corn hole, you throw the beanbag with a horizontal velocity of 4 m/s and it remains in the air for 2 seconds. How far away from you does the bean bag land?
8 m
You have the magnitude of an angle and the length of a side opposite the angle. What are you going to use to find the length of the adjacent side? Be specific!
Tangent
True or False: Hiker A walks 1 km east, then 2 km north. Hiker B walks 2 km north, then 1 km east. Both hikers will end at the same location
True
What launch angle causes the projectile to fly furthest down the field?
45°
A pirate runs at 3 m/s horizontally off the plank which sits 12 m above the water. How long does it take the pirate to hit the water?
1.56 s
When playing corn hole, you throw the beanbag at an angle of 50° with a velocity of 6 m/s. Calculate the beanbag's initial velocity in both the x and y direction.
vx = 6cos50 = 3.86 m/s
vy = 6sin50 = 4.60 m/s
You have the length of a side adjacent to an angle and the length of the hypotenuse. What will you use to find the magnitude of the angle? Be specific!
Inverse cosine
Name 3 types of vector quantities
Displacement, Velocity, Acceleration, Force
A lemming runs at 10 m/s off of a 5 m cliff side. What is their velocity in the y direction just as they leave the cliff?
0 m/s
A pirate runs at 3 m/s horizontally off the plank which sits 12 m above the water. What is the pirate's velocity in the y direction after 1.2 seconds?
11.77 m/s
When playing a game of corn hole, you throw the beanbag with an initial x velocity of 4 m/s and an initial y velocity of 5 m/s. Calculate the velocity in the y direction of the beanbag after 0.7 seconds
vfy = viy + at = 5 + (-9.81x0.7)
vfy = -1.87 m/s
Find the missing angle
/|
/ x|
/ | 17
/ |
/ |
/__________|
16
43.26°
A boat sails at an angle of 40° N of W for 25 miles. Calculate how far they sailed in the x and y directions. Don't forget units and direction on your answer.
x: 19.15 mi W
y: 16.07 mi N
What is the acceleration of an angle launched projectile at the (a) base of its launch, (b) maximum height, and (c) bottom of its path? (You should have 3 numbers)
(a) -9.81 m/s2
(b) -9.81 m/s2
(b) -9.81 m/s2
A pirate runs at 2 m/s horizontally off the plank and hits the water 0.75 seconds later. How high above the waterline was the plank?
2.76 m
When playing a game of corn hole, you throw the beanbag with an initial x velocity of 4 m/s and an initial y velocity of 5 m/s. Calculate the time it takes the beanbag to reach the other corn hole board.
tup = 0-5/9.81 = 0.51 s
tair = 2(0.51) = 1.02 s
Calculate the missing side
|\
| \
|40\
| \ x
| \
| \
|______\
6
9.33
A hiker walks 10 m west then 5 m south. Calculate the magnitude and angle of displacement. Don't forget unit and direction with your answer
11.18 m at 26.57° S of W
You shoot off a cannon at an angle of 35° and it lands 100 yds down a field. What other angle could you shoot off the cannon to have it land at the same point?
55°
A pirate runs at 3 m/s horizontally off the plank which sits 12 m above the water. What is the pirates velocity in the y direction as they hit the water?
t = sqrt(2x-12/-9.81) = 1.56 s
vfy = 0 + -9.81 x 1.56
vfy = -15.34 m/s
When playing a game of corn hole, you throw the beanbag wit an initial x velocity of 4 m/s and an initial y velocity of 5 m/s. If it takes the beanbag 0.51 s to reach the top of its path, how high off the ground does it get?
y = viyt + 1/2at2 = (5)(0.51) + (0.5)(-9.81)(0.512)
y = 1.27 m