a. The position of an object is given by x(t) = A + B*t + C*t³ (yes, those exponents are intentional, this is NOT constant acceleration). Provided that x is measured in meters and t in seconds, what must be the units for the constants A, B, and C. b. Another position function is given by y(t) =D + E*t1+ F*t3/2), What are its velocity, and acceleration functions with time? c. Bonus: choose and declare your values for D, E and F, and make graphs of y(t), vy(t), and a,(t). Don't forget appropriate units at each step.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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a. The position of an object is given by x(t) = A + B*t + C*t³ (yes, those exponents are intentional, this is
NOT constant acceleration). Provided that x is measured in meters and t in seconds, what must be the
units for the constants A, B, and C.
b. Another position function is given by y(t) = D # E*t1 + F*t3/2). What are its velocity, and acceleration
functions with time?
c. Bonus: choose and declare your values for D, E and F, and make graphs of y(t), vy(t), and a,(t). Don't
forget appropriate units at each step.
Transcribed Image Text:a. The position of an object is given by x(t) = A + B*t + C*t³ (yes, those exponents are intentional, this is NOT constant acceleration). Provided that x is measured in meters and t in seconds, what must be the units for the constants A, B, and C. b. Another position function is given by y(t) = D # E*t1 + F*t3/2). What are its velocity, and acceleration functions with time? c. Bonus: choose and declare your values for D, E and F, and make graphs of y(t), vy(t), and a,(t). Don't forget appropriate units at each step.
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