Question

# please give exact answers Question 6 (1 point) Problems 6-9 use the following information. A dog...

Question 6 (1 point)

Problems 6-9 use the following information. A dog frolics rectilinearly with acceleration a(t) = 2sin(t) + 9e3t + 3t2 + 5 m/s2. Initial position and velocity are both 0. At t = 0.8 s:

What is the dog's acceleration (m/s2)? Answer with 3 significant figures.

Question 7 (1 point)

What is the dog's velocity (m/s)? Answer with 3 significant figures.

Question 8 (1 point)

What is the dog's position (m)? Answer with 3 significant figures.

Question 9 (1 point)

Does the dog ever backtrack?

Question 9 options:

 Yes, at t = π, 3π, 5π ... etc. seconds Yes, at t = π/2, 3π/2, 5π/2 ... etc. seconds Yes, at t = 0.8 s No

Question 10 (1 point)

Given acceleration a(s) = 2 + 7cos(s) m/s2 where initial position is 0 and initial velocity is 2 m/s, what is velocity (m/s) at s = 4π m? Answer with 3 significant figures.

a=2sin(t) +9e3t+3t​​​​​​​​​2+5

At t=0.8s

a= 2sin(0.8) +9e3×0.8+3×0.82+5

a=107.56m/s2

Since a=dv/dt hence integration of acceleration gives velocity

v=2 (-cos(t)) +3e3t+t3+5t

v=2(-cos(0.8)) +3e3×0.8+0.83+5×0.8

V=36.19m/s

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