Differentiation help.

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Fraser08

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Sep 7, 2014
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  1. A machine moves in a path such that its displacement is described by the equation:

s = 3T^3 - 12T^2 + 5T + 16 (cm).

i) Calculate the displacement after 2s.
ii) Calculate the acceleration of the machine after 2.5s.
iii) At what time is the acceleration equal to 12 cm/s2
 
Fraser08 said:
  1. A machine moves in a path such that its displacement is described by the equation:

s = 3T^3 - 12T^2 + 5T + 16 (cm).

i) Calculate the displacement after 2s.
ii) Calculate the acceleration of the machine after 2.5s.
iii) At what time is the acceleration equal to 12 cm/s2
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Fraser08 said:
A machine moves in a path such that its displacement is described by the equation:

s = 3T^3 - 12T^2 + 5T + 16 (cm).

i) Calculate the displacement after 2s.
ii) Calculate the acceleration of the machine after 2.5s.
iii) At what time is the acceleration equal to 12 cm/s2
Click to expand...
i) You are given an equation which tells you the displacement s at time t. You are given a value for the time t, and are asked to find the displacement s. Evaluate, using what you learned back in algebra.

ii) How does acceleration relate to position? Use that relationship to find the function for acceleration. Then evaluate at the given value of t.

iii) Use the function you found in part (ii), along with the given value for acceleration, to create an equation in the variable t. Solve the equation for the value of t.

If you get stuck, please reply showing all of your work so far. Thank you! ;)
 
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