A car in a roller coaster moves along a track that consists of a sequence of ups and downs. Let the x axis be parallel to the ground and the positive y axis point upward. In the time interval from t =0 to t=4 s, the trajectory of the car along a certain section of the track is given by Derive a general expression for the speed v of the car. Make sure that your expression would give the correct value for the speed (in m/s), but you don't need to put in anything explicitly about units (unlike what you see in the original expression for F). Express your answer in meters per second in terms of A and t. i = A(1 m/s)t i + A [(1 m/s³)t³ – 6(1 m/s³)t®] j > View Available Hint(s) where A is a positive dimensionless constant. x" IXI X•10" m/s Submit Previous Answers X Incorrect; Try Again; 3 attempts remaining Part C The roller coaster is designed according to safety regulations that prohibit the speed of the car from exceeding 21 m/s. Find the maximum value of A allowed by these regulations. Express your answer using two significant figures. > View Available Hint(s) ? Amas=

University Physics Volume 1
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Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 75P: A boat can be rowed at 8.0 km/h in still water. (a) How much time is required to row 1.5 km...
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Wouldnt part B just be the derivative of the equation? My answer comes out wrong when I submit it? Not sure how to do part c?

Part B
A car in a roller coaster moves along a track that consists of a
sequence of ups and downs. Let the x axis be parallel to the ground
and the positive y axis point upward. In the time interval from t =0 to
t= 4 s, the trajectory of the car along a certain section of the track is
given by
Derive a general expression for the speed v of the car. Make sure that your expression would give the correct value for the speed (in m/s), but you don't need to put in
anything explicitly about units (unlike what you see in the original expression for 7).
Express your answer in meters per second in terms of A and t.
ř = A(1 m/s)t i + A [(1 m/s³)t³ – 6(1 m/s³)t²] j.
• View Available Hint(s)
where A is a positive dimensionless constant.
μν ΑΣφ
?
x•10"
v =
m/s
Submit
Previous Answers
X Incorrect; Try Again; 3 attempts remaining
Part C
The roller coaster is designed according to safety regulations that prohibit the speed of the car from exceeding 21 m/s. Find the maximum value of A allowed by these
regulations.
Express your answer using two significant figures.
• View Available Hint(s)
Πν ΑΣφ
Amax =
Submit
Transcribed Image Text:Part B A car in a roller coaster moves along a track that consists of a sequence of ups and downs. Let the x axis be parallel to the ground and the positive y axis point upward. In the time interval from t =0 to t= 4 s, the trajectory of the car along a certain section of the track is given by Derive a general expression for the speed v of the car. Make sure that your expression would give the correct value for the speed (in m/s), but you don't need to put in anything explicitly about units (unlike what you see in the original expression for 7). Express your answer in meters per second in terms of A and t. ř = A(1 m/s)t i + A [(1 m/s³)t³ – 6(1 m/s³)t²] j. • View Available Hint(s) where A is a positive dimensionless constant. μν ΑΣφ ? x•10" v = m/s Submit Previous Answers X Incorrect; Try Again; 3 attempts remaining Part C The roller coaster is designed according to safety regulations that prohibit the speed of the car from exceeding 21 m/s. Find the maximum value of A allowed by these regulations. Express your answer using two significant figures. • View Available Hint(s) Πν ΑΣφ Amax = Submit
Expert Solution
Step 1

The position of car on a track is given by : r = A ti^ +A[t3 -6t2]j^ meters 

 

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