10. [Motion in R³] A drone has an initial position of (3,1,2) and an initial velocity of (-2,5,1). Thedrone's acceleration can be given by the function a(t) = (4 - 6t, 9 sin(3t), 10e-2t).(a) Derive a formula for the position of the drone as a function of t.(b) If the drone flies for 4 seconds, where does the drone end up?

Here we can use the following formula to find displacement function: vt=∫at dtst=∫vt dt

[Motion in R³] A drone has an initial position of (3,1, 2) and an initial velocity of (-2,5,1). The drone's acceleration can be given by the function a(t) = (4 - 6t, 9 sin(3t), 10e-2¹). (a) Derive a formula for the position of the drone as a function of t. (b) If the drone flies for 4 seconds, where does the drone end up?

[Motion in R³] A drone has an initial position of (3,1, 2) and an initial velocity of (-2,5,1). The drone's acceleration can be given by the function a(t) = (4 - 6t, 9 sin(3t), 10e-2¹). (a) Derive a formula for the position of the drone as a function of t. (b) If the drone flies for 4 seconds, where does the drone end up?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 3CR: Determine whether each of the following statements is true or false, and explain why. The derivative...

See similar textbooks