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Calculus/Vector calculus
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Question
A certain objects velocity vector has components vx(t)=bt^2+c, vy(t)=qt, and vz(t)=0, where b=10 m/s^3, c=5 m/s, and q=-2.0 m/s^2. What is the magnitude of the objects acceleration at time t=0? time t=3s?
Acceleration is the derivative of velocity.
Magnitude is the squareroot of the sum of the squares in each direction.
Find the derivatives of vx(t) and vy(t).
Calculate the squareroot of the sum of the squares of each of the derivatives at t=0 to find the magnitude at 0 and the same at t=3s to find the magnitude at 3s.
Thank you and write again for more assistance.
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Answers by Expert:
Scotto
Expertise
Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.
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Experience in the area: I have tutored students in all areas of mathematics for over 25 years.
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I graduated with honors in both my BS and MS degree from Oregon State University.
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