Which equation do I use?
Free Fall
Vectors
Relative Motion
Projectile Motion
100
If you were trying to solve for a resultant vector
a2 +b2=c2
100
What is the acceleration due to gravity?
9.81 m/s2
100
You walk 31 m south and then 31 m east. The magnitude and direction of your displacement is
43.8 m east of south
100
What is a reference point?
place or object used for comparison to determine if something is in motion.
100
Explain time up vs time down in projectile motion
time up and time down are equal to one another
200
What is your velocity relative to the bird sitting in the tree
Vab + Vbe = Vae
200
Luke Autbeloe drops a pile of roof shingles from the top of a roof located 8.52 meters above the ground. Determine the time required for the shingles to reach the ground
-8.52 m = (0 m/s) • (t) + ½ • (-9.8 m/s2) • (t)2
-8.52 m = (0 m) *(t) + (-4.9 m/s2) • (t)2
-8.52 m = (-4.9 m/s2) • (t)2
(-8.52 m)/(-4.9 m/s2) = t2
1.739 s2 = t2
t = 1.32 s
200
A motorboat, which has a speed of 5 meters per second in still water, is headed east as it crosses a river flowing south at 3.3 meters per second. What is the magnitude of the boat’s resultant velocity with respect to the starting point?
5.99 m/s
200
A bus is traveling 30 m/s East you walk to the front of the bus at 5 m/s what is your relative velocity to a car stopped at a stoplight
35 m/s
200
A football is kicked straight up into the air. If the ball is airborne for 13.0 seconds, with what speed was it hit?
Δt = (vf - vi)/ a
13.0 s = (0 - vi)/ -9.8 m/s2
Vi= 127.4 m/s
300
You are given the resultant vector (North of East) of your trip and the angle at which you traveled. But you want to determine the x component of your journey
Cos(θ)= adj/hyp
300
Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.60 seconds, what will be his final velocity be?
vf = vi + a*t
vf = 0 + (-9.8 m/s2)*(2.60 s)
vf = 25.5 m/s
300
A boat is rowed directly North across a river at 2.0 m/s. The river flows East at 3.0 m/s. At what angle and direction is the boat going across the river?
56.3o East of North
300
A train travels at 60 m/s to the east with respect to the ground. A businessman on the train runs at 5 m/s to the west with respect to the train. Find the velocity of the man with respect to the ground.
55 m/s
300
DOUBLE JEOPARDY
An object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal.
What is the maximum height reached by the object?
3.64 meters
400
If you are trying to figure out how far an object was going to fall if you were given the time of the fall
d = vi*t + 0.5*a*t2
400
Blake is riding the Giant Drop at Great America. If Upton free falls for 2.60 seconds how far will he fall?
d = vi*t + 0.5*a*t2
d = (0 m/s)*(2.60 s)+ 0.5*(-9.8 m/s2)*(2.60 s)2
-33.1 m
400
A sailboat with an inept captain had to be towed into shore. The tow boat was pulling the boat at a velocity of 18.5 m/s south. However, there was also a current pushing both boats north at a velocity of 9.3 m/s. It also happened to be a windy day and so the boat was being pushed to the west with a velocity of 7.5 m/s. At what velocity will the towboat be pulling the sailboat?
11.9 m/s
400
On the highway you get passed by a car going 90 mph. You are going 75 mph, what is your velocity with respect to the car that just passed you.
-15 mph
400
During a fireworks display, a shell is shot into the air with an initial speed of 95.0 m/s at an angle of 87.0º above the horizontal, as illustrated in Figure 3. The fuse is timed to ignite the shell just as it reaches its highest point above the ground. Calculate the height at which the shell explodes.
voy=vo sin θ
voy = 95 m/s (sin 87)
voy = 94.9 m/s
tup=voy*g
tup = 94.9 m/s / 9.8
tup = 9.7 seconds
y = 94.9 m/s (9.7s) + 1/2(-9.8)(9.7s)2
y = 920.53 + -461.04
y= 459.5 m
500
If you are given the angle and initial speed of a projectiles motion and you are trying to calculate the height which that projectile reached
voy=vo *sin θ
tup=voy*g
500
A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. Determine the depth of the well.
d = vi*t + 0.5*a*t2
d = (0 m/s)*(3.41 s)+ 0.5*(-9.8 m/s2)*(3.41 s)2
d = 0 m+ 0.5*(-9.8 m/s2)*(11.63 s2)
d = -57.0 m
500
Paige rode her bicycle through East Peoria on a one way street. For the first leg of her journey she rides her bike for 30 min at a rate of 4 m/s. During this time she was riding at an angle of 37 degrees N of W. Off in the distance she hears the ice cream truck and changes position. So, travelling at an angle of 60 degrees N of W, she speeds up to 7 m/s and arrives at the ice cream truck in 2.5 minutes. What was her resultant distance for her ice cream journey.
8176.6 m
500
Your cat gets loose and runs to the back of your plane with a velocity of 4 m/s. The plane is traveling 257 m/s, how fast does the cat appear to be running when viewed by an observer standing on a runway.
253 m/s