The discussion focuses on calculating displacement and velocity from given functions at a specific time, t=5. For the function A, s(t) = 3t + 7, the displacement at t=5 is 22 meters, and the velocity is constant at 3 m/s. For function B, s(t) = t³ - 2t² + 4t - 1, the displacement at t=5 is 94 meters, and the velocity is derived using calculus, resulting in a velocity of 43 m/s at t=5. The importance of applying calculus to find velocity from displacement is emphasized.
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s usually denotes position or displacement, not velocity. How do you find velocity from displacement?MiniOreo1998 said:Homework Statement
For each function, find an expression for the velocity and the value of the displacement and velocity at t=5. Displacement is in metres and time is in seconds.
Homework Equations
A)[/B] s(t) = 3t + 7
B) s(t) = t3 - 2t2 + 4t - 1The Attempt at a Solution
A) [/B]s(t) = 3t + 7
s(5) = 3(5) + 7
= 22 m/s
B) s(t) = t3 - 2t2 + 4t - 1
s(5) = 53 - 2(5) + 4(5) - 1
=94 m/s