1. I have a pet turtle and his name is Pong Pagong. One night he crawled along a straight line and his path was caught by a CCTV camera. The camera footage reveals that Pong's path can be described as a function of time through the equation x(t) = 40.0 cm + (2.00 ): - (0.06 ) : Assume the line to be the x-axis with a positive direction to the right. (a) What are Pong's initial position, initial velocity, and initial acceleration? (6 points) (b) At what time is Pong's velocity zero? (3 points) (c) How long after starting does it take Pong to go back to its starting point? (4 points) (d) At what times is Pong a distance 10.0 cm from its starting point? What is Pong's velocity (magnitude and direction) at each of those times? (17 points)

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Chapter1: Units, Trigonometry. And Vectors
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Provide a complete solution to each problem.
1. I have a pet turtle and his name is Pong Pagong. One night he crawled along a straight line and
his path was caught by a CCTV camera. The camera footage reveals that Pong's path can be
described as a function of time through the equation
ст
ст
x(t) = 40.0 cm + (2.00 )t - (0.06 )
:-
Assume the line to be the x-axis with a positive direction to the right.
(a) What are Pong's initial position, initial velocity, and initial acceleration? (6 points)
(b) At what time is Pong's velocity zero? (3 points)
(c) How long after starting does it take Pong to go back to its starting point? (4 points)
(d) At what times is Pong a distance 10.0 cm from its starting point? What is Pong's velocity
(magnitude and direction) at each of those times? (17 points)
Transcribed Image Text:Provide a complete solution to each problem. 1. I have a pet turtle and his name is Pong Pagong. One night he crawled along a straight line and his path was caught by a CCTV camera. The camera footage reveals that Pong's path can be described as a function of time through the equation ст ст x(t) = 40.0 cm + (2.00 )t - (0.06 ) :- Assume the line to be the x-axis with a positive direction to the right. (a) What are Pong's initial position, initial velocity, and initial acceleration? (6 points) (b) At what time is Pong's velocity zero? (3 points) (c) How long after starting does it take Pong to go back to its starting point? (4 points) (d) At what times is Pong a distance 10.0 cm from its starting point? What is Pong's velocity (magnitude and direction) at each of those times? (17 points)
2. Helsinki drives his car starting from rest and travels for 5.0 s with a uniform acceleration of
+1.5 . He then steps on the brakes, causing a uniform acceleration of -2.0. If the brakes are
applied for 3.0 s, (a) how fast is Helsinki driving at the end of the braking period, and (b) how far
has the car gone? (10 points)
3. In a room, a construction worker throws a glob of putty straight up. The initial speed of the putty
as it leaves his hand is 9.50 m/s. (a) Will the putty hit the ceiling which is 3.60 m above the point
where the putty leaves the worker's hand? Support your answer. (b) If your answer in (a) is yes,
how much time does it take the putty to reach the ceiling? If your answer in (a) is no, how much
time does it take the worker to catch the putty? (10 points)
Transcribed Image Text:2. Helsinki drives his car starting from rest and travels for 5.0 s with a uniform acceleration of +1.5 . He then steps on the brakes, causing a uniform acceleration of -2.0. If the brakes are applied for 3.0 s, (a) how fast is Helsinki driving at the end of the braking period, and (b) how far has the car gone? (10 points) 3. In a room, a construction worker throws a glob of putty straight up. The initial speed of the putty as it leaves his hand is 9.50 m/s. (a) Will the putty hit the ceiling which is 3.60 m above the point where the putty leaves the worker's hand? Support your answer. (b) If your answer in (a) is yes, how much time does it take the putty to reach the ceiling? If your answer in (a) is no, how much time does it take the worker to catch the putty? (10 points)
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