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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
(look at attachment)
where [tex]A[/tex] is a positive dimensionless constant.
I have two questions that i don't get:
1.) Derive a general expression for the speed [tex]v[/tex] of the car.
Express your answer in meters per second in terms of [tex]A[/tex] and [tex]T[/tex].
if i get the derivate of r, respect to time, that would get me the velocity right? so... 3at^2-12t+a
2.) The roller coaster is designed according to safety regulations that prohibit the speed of the car from exceeding 20m/s . Find the maximum value of [tex]A[/tex] allowed by these regulations.
V = V(0) + at
20 = 0 + a(4)
a= 5
did i get any of this right? if not, please give me a hand
(look at attachment)
where [tex]A[/tex] is a positive dimensionless constant.
I have two questions that i don't get:
1.) Derive a general expression for the speed [tex]v[/tex] of the car.
Express your answer in meters per second in terms of [tex]A[/tex] and [tex]T[/tex].
if i get the derivate of r, respect to time, that would get me the velocity right? so... 3at^2-12t+a
2.) The roller coaster is designed according to safety regulations that prohibit the speed of the car from exceeding 20m/s . Find the maximum value of [tex]A[/tex] allowed by these regulations.
V = V(0) + at
20 = 0 + a(4)
a= 5
did i get any of this right? if not, please give me a hand