Suppose the position vector for a particle is given as a function of time by r(t) = x(t)i + y(t)j, with x(t) = at + b and y(t) = ct² + d, where a = 1.80 m/s, b = 1.30 m, c = 0.131 m/s2, and d = 1.10 m. (a) Calculate the average velocity during the time interval from t = 2.25 s to t = 3.80 s. -(1.8i+.83j) m/s x (b) Determine the velocity at t = 2.25 s. -1.81 +.58j m/s Determine the speed at t= 2.25 s.
Suppose the position vector for a particle is given as a function of time by r(t) = x(t)i + y(t)j, with x(t) = at + b and y(t) = ct² + d, where a = 1.80 m/s, b = 1.30 m, c = 0.131 m/s2, and d = 1.10 m. (a) Calculate the average velocity during the time interval from t = 2.25 s to t = 3.80 s. -(1.8i+.83j) m/s x (b) Determine the velocity at t = 2.25 s. -1.81 +.58j m/s Determine the speed at t= 2.25 s.
Related questions
Question
Ex
Transcribed Image Text:Suppose the position vector for a particle is given as a function of time by r(t) = x(t)i + y(t)j, with x(t) = at + b and
y(t)= ct² + d, where a = 1.80 m/s, b = 1.30 m, c = 0.131 m/s², and d = 1.10 m.
(a) Calculate the average velocity during the time interval from t = 2.25 s to t = 3.80 s.
(1.8i+.83j)
m/s
=
x
(b) Determine the velocity at t = 2.25 s.
-1.8i+.58j
m/s
Determine the speed at t = 2.25 s.
2.48
x
Your response differs from the correct answer by more than 10%. Double check your calculations. m/s
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
