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S18 PH 121 2 practice 1

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Richard Datwyler

on 21 September 2018

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Transcript of S18 PH 121 2 practice 1

Practice day!
Instantaneous velocity
Graphically
Calculus
Position from Velocity
Graphically
Calculus
Motion with Constant Acceleration
Find the average velocity for this motion from:
a) t=1-3
b) t=0-3
c) t=3-6
d) t=0-6
Find the instantaneous velocities at times
a) t=2
b) t=4.9
c) t=4.3
20 m/s
-26.7 m/s
0 m/s
20 m/s
13.3 m/s
-13.3 m/s
0 m/s
Find the:
a) position at t = 3 s
b) velocity at t = 3 s
c) acceleration at t = 3 s

Harder:
a) time when velocity is zero
b) location when velocity is zero
c) acceleration at those locations

76 m
78 m/s
54 m/s^2

+/- .577 s
2.85 m 5.15 m
+/- 10.4 m/s^2

If the initial position is x = 0 m
at what time(s) is the particles location at
x = 20 m
x = 35 m
x = 17.5 m
if the initial position is x = 0 m
where is the particle at
t = 2 s
t = 4 s
3.74 s
6 s and 10 s
4 s and 12 s

5 m
20 m
a particle's velocity is described by the function

what is the equation for its position if it starts at a location of 12 m
What is the equation for its acceleration?
At what time does the particle reach its turning points?
What is the location and acceleration at those points?
t = 2, 5 s
x=20.7 ,16.2 m
a=-3 , 3 m/s^2
what is her acceleration in the ice?
3.5 m/s^2
What is the speed at take off?
How far does it travel in the first second?
How far does it travel in the last second?
What percent of the final speed is its speed in the middle?
26.8 s
134 m/s
2.5 m
132 m
71 %
"I still don't understand what how to get the area under the line on a graph, or why its needed or important."
Position
x

velocity
v

acceleration
a
graphically: slope
math: derivative
graphically: slope
math: derivative
graphically: area
math: integral
graphically: area
math: integral
"The examples of motion with constant acceleration don't seem to hard, will we do any with a varying acceleration and if so how would we approach that?"
"I don't understand how by looking at a word problem you can decide on what equation to use. "
120 m
what is the minimum stopping distance if the initial speed is 40 m/s
Full transcript