2. A particle moves along the x-axis so that its velocity at any time t 2 0 is given by v(t) = 3t² – 2t + 4. when t = 2, the position of the particle is X = 5. Here is a graph of this velocity: V 70 60 50 40 30 20 10 t a. Using 8 rectangles of equal width and left-hand endpoints, estimate the distance traveled by the particle between t = 1 and t = 5. %3D b. Is your answer to part a an underestimate, an overestimate, or exactly correct? c. Write a polynomial expression for the position of the particle at any time t 2 0. d. Use your expression from part c to find the total distance traveled by the particle between t = 1 and t = 5. (Note – your answers to a and d should be close.)
2. A particle moves along the x-axis so that its velocity at any time t 2 0 is given by v(t) = 3t² – 2t + 4. when t = 2, the position of the particle is X = 5. Here is a graph of this velocity: V 70 60 50 40 30 20 10 t a. Using 8 rectangles of equal width and left-hand endpoints, estimate the distance traveled by the particle between t = 1 and t = 5. %3D b. Is your answer to part a an underestimate, an overestimate, or exactly correct? c. Write a polynomial expression for the position of the particle at any time t 2 0. d. Use your expression from part c to find the total distance traveled by the particle between t = 1 and t = 5. (Note – your answers to a and d should be close.)
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images