What is the instantaneous velocity of an object

Yuliana Jordan

Yuliana Jordan

Answered question

2022-03-16

What is the instantaneous velocity of an object with position at time t equal to f(t)=((t2)2,5t3) at t=2?

Answer & Explanation

PCCNQN4XKhjx

PCCNQN4XKhjx

Beginner2022-03-17Added 8 answers

Explanation:
In a parametric form regarding position of an object f(t)=(x(t), y(t)),
we get two component of velocity dxdt and dydt, which are at right angles to each other
Here we have f(t)=((t2)2,5t3)
hence two components are 2(t-2) and 5 and at t=2
these are 0 and 5
and hence instantaneous velocity is 02+52=25=5.

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