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The speed of an object is given by v = 5.00t^2 + 4.00t where v is in m/s and t is in s. What is the acceleration of the object at t = 2s?

The speed of an object is given by v = 5.00t^2 + 4.00t where v is in m/s and t is in s. What is the acceleration of the object at t = 2s?
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The speed of an object is given by v = 5.00t^2 + 4.00t where v is in m/s and t is in s. What is the acceleration of the object at t = 2s?

asked
User Jasonsemko
by
7.3k points

1 Answer

3 votes
The speed is
v = 5t² + 4t
where
v is in m/s, and t in s.

The acceleration is the derivative of the velocity. It is
a = 10t + 4

When t = 2 s, the acceleration is
a(2) = 10*2 +4 = 24 m/s²

Answer: 24 m/s²
answered
User Tomas Holas
by
8.2k points
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