Q2: A spider is crawling on a wall. It goes up 2 meters, then to the left 3 meters, Calculate its displacement? 2. Liam’s plane stops from 250 mph in 25 seconds. Calculate his plane’s acceleration. Alexis swam 50 meters in 3 seconds, then 47 meters in 2 seconds, and finally 109 meters in 8 seconds. Find her average speed.
Today’s objective: I can calculate an objects motion relative to its surroundings.
Resultant Vector: The result of adding two vectors + A B C
Resultant Vector: The result of adding two vectors + A B C
With this information, can I determine the vector displacement? Harley walked then walked and then 6 km + 2 km + 6 km With this information, can I determine the vector displacement?
6 km, N + 2 km, N + 6 km,E Must have direction!!!
Relative Motion: Velocity changes depending upon different points due to different frames of reference
Frame of Reference: Needed to describe motion What you are comparing to
Overall velocity considering frames of reference Relative Velocity: Overall velocity considering frames of reference 6 m/s + 1 m/s = 7 m/s
Walking toward back while train moves forward Relative Velocity: Walking toward back while train moves forward 4 m/s + 1 m/s = 3 m/s
What is the train’s movement relative to Ashley & Cameron? Train is moving 45 mph. What is the train’s movement relative to Ashley & Cameron? Ashley and Cameron are moving 0 mph. 45 Mph
O + 20 = 20 What is Donna’s movement relative to Kristina? Donna is moving 20 mph Kristina is moving 0 mph What is Donna’s movement relative to Kristina? O + 20 = 20
Ryan is walking 1 m/s East in a train moving 4 m/s West Ryan is walking 1 m/s East in a train moving 4 m/s West. What is his velocity relative to an observer outside the train? 1+ 4 = 3
Find the T-Bone’s velocity relative to Alexander’s frame of reference. T-Bone Slim Alexander Supertramp Find the T-Bone’s velocity relative to Alexander’s frame of reference. 1.2 m/s+ 15 m/s = 16.2 m/s
A river flows at a velocity of 3 km/h relative to the riverbank A river flows at a velocity of 3 km/h relative to the riverbank. Brandon’s boat moves upstream at a velocity of 15 km/h relative to the river. What is the velocity of his boat relative to the riverbank? 12 km/h upstream
Bryan walked 1. 5 km in 25 minutes Bryan walked 1.5 km in 25 minutes. Realizing he was late, he ran the remaining 0.5 km in 5 minutes. Calculate his average speed. 4.0 km/h
What is the average speed at 10:30? 80 km/h
Which of these describes the displacement of a cyclist who travels 1 mile north then 1 mile east, and finally 1 mile south? 3 miles east b. 1 mile north c. 3 miles south d. 1 mile east
S = 65 mph T = 20 min D = ? 20 = .3 hr 60 S = d t 65 mph = d .3hr Keosha is rushing to school at 65 mph. After 20 minutes she arrives at school. How far from the school does she live? S = 65 mph T = 20 min D = ? 20 = .3 hr 60 S = d t 65 mph = d .3hr .3 hr x 65 mph = d x .3 hr .3hr 19.5 miles = d
S = 72 mph T = ? D = 183 72 mph = 183mi t T 72 mph = 183 mi How long will it take Garrett to drive to his grandmother’s house for Christmas if his average speed is 72 mph and she lives 183 miles away? S = 72 mph T = ? D = 183 t 72 mph = 183mi t t T 72 mph = 183 mi 72 mph = 72 mph 2.54 hours
At any time is this object stopped? Explain. Graph of acceleration: constant increasing decreasing At any time is this object stopped? Explain.
force between any two objects Gravity: force between any two objects
Acceleration due to gravity: Same acceleration everywhere on Earth
Which will reach the ground sooner?
downward acceleration. Gravity causes downward acceleration. Air resistance pushes in the direction opposite of the motion…so it pushes upward.
Acceleration due to gravity: Same acceleration everywhere on Earth
Gravity Balanced Acceleration = 0 Constant Velocity
always pulling toward the center of the Earth Gravitational Force always pulling toward the center of the Earth Force: measured in Newton's
Gravitational constants: Earth: 9.807 m/s/s Moon: 1.622 m/s/s Mars: 3.711 m/s/s Jupiter: 24.79 m/s/s Sun: 274 m/s/s
Earth: 9.807 m/s/s Moon: 1.622 m/s/s Mars: 3.711 m/s/s Jupiter: 24.79 m/s/s Sun: 274 m/s/s
3). Eddie dropped a penny off the roof of a building 3) Eddie dropped a penny off the roof of a building. The penny hit the ground at a speed of 17.2 m/s. How long did it take to reach the ground?
Anthony hollered into a canyon and listened for its echo Anthony hollered into a canyon and listened for its echo. The speed sound travels through air is 340 m/s. When his voice hit the bottom, it bounced back. The time it took for him to hear it was 6 seconds. How deep was the canyon? S = 340 m/s d = X t = 6 s
Speed and Motion Worksheet Assignment Due Thursday: Speed and Motion Worksheet