examples of instantaneous velocity
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hi,
The instantaneous velocity is the value of the slope of the tangent line at t. Example 1. ... Instantaneous velocity is very different from ordinary velocity, which, to calculate, requires an interval of time. "Instantaneous velocity," like any limit, is defined at a specific value of time t.
The instantaneous velocity is the value of the slope of the tangent line at t. Example 1. ... Instantaneous velocity is very different from ordinary velocity, which, to calculate, requires an interval of time. "Instantaneous velocity," like any limit, is defined at a specific value of time t.
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Explanation:
Let the following be the equation of motion:
s(t) = 6t 2 + t + 8.
Let t be measured in minutes and s in meters. And let 10:05 AM correspond to t = 0.
a) What is the instantaneous velocity at 10:05 AM?
Answer. ds
dt = 12t + 1
= 12· 0 + 1
= 1 m/min.
b) What is the instantaneous velocity at 10:15 AM?
Answer. At 10:15, t = 10.
ds
dt = 12· 10 + 1
= 121 m/min.
divya3278:
is it correct
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