SlytherinPrincess8 SlytherinPrincess8

14-05-2020
Mathematics

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A point has a position vector given by [tex]r(t)=(2t,t^2)[/tex] for all time t ≥ 0 seconds. Find the speed of the object at t = 1 seconds.

8
4
2
[tex]2\sqrt{2}[/tex]

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MathPhys MathPhys

14-05-2020

Answer:

2√2

Step-by-step explanation:

r(t) = (2t, t²)

v(t) = dr/dt

v(t) = (2, 2t)

v(1) = (2, 2)

|v(1)| = √(2² + 2²)

|v(1)| = 2√2

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