please give exact answers
Question 6 (1 point)
Problems 69 use the following information. A dog frolics rectilinearly with acceleration a(t) = 2sin(t) + 9e^{3t} + 3t^{2} + 5 m/s^{2}. Initial position and velocity are both 0. At t = 0.8 s:
What is the dog's acceleration (m/s^{2})? 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/s^{2} 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) +9e^{3t}+3t_{}^{2}+5
At t=0.8s
a= 2sin(0.8) +9e^{3×0.8}+3×0.8^{2}+5
a=107.56m/s^{2}
Since a=dv/dt hence integration of acceleration gives velocity
v=2 (cos(t)) +3e^{3t}+t^{3}+5t
v=2(cos(0.8)) +3e^{3×0.8}+0.8^{3}+5×0.8
V=36.19m/s
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