(10%) Problem 8: The x-coordinate of an object varies with time according to the

Question

(10%) Problem 8: The x-coordinate of an object varies with time according to the following expression: x ) = 3 + 5, + 92, where t is in seconds and x is in meters. q) 25% Part (a) write an expression for the x-component of the velocity as a function of time. 25% Part (b) write an expression for the x-component of the acceleration as a function of time. 25% Part (c) Find the x-component of the average velocity, in meters per > second, between ti-0.29 s and r2 = 1.49 s. vave = | 16.71 Grade Summary Deductions Potential 10 sinO cos() tan0 ( 1.7 8 9 HOME cotan0 asinO acos0 atan0 acotan0 sinhO1 2 3 coshO tanh0 cotanh0 Submissions Attempts remaining (0% per attempt) iled view 0 IND 0% Degrees Radians VO BACKSPACE L CLLAR Submit Hint I give up deduction per feedback. Hints: deduction per hint. Hints remaining: 1 Feedback: -- 25% Part (d) Find the x-component of acceleration, in meters per second squared, at r2 = 1.49 s.

Explanation / Answer

8) a)x(t) = 3 + 5t + 9t^2

v(t) = dx/dt = 5 + 18t

b) a(t) = dv/dt

= 18

c) average velocity = x(t2) - x(t1) / t2 - t1

= 3+5*(1.49 - 0.29) +9*(1.49^2 - 0.29^2) / 1.49 - 0.29

= 23.52 m/s

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