Q) Let d(t) bethe position of an object at time t, and let r(t) be its velocity (r=d”). Useimplicit differentiation to show that the formula d=rt isvalid only when the object is moving with...

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Q) Let d(t) be the position of an object at time t, and let r(t) be its velocity (r=d”). Use implicit differentiation to show that the formula d=rt is valid only when the object is moving with constant velocity.Bottom of Form

Answered Same DayDec 20, 2021

Answer To: Q) Let d(t) bethe position of an object at time t, and let r(t) be its velocity (r=d”)....

Robert answered on Dec 20 2021

129 Votes

given
displacement of object = d(t)
velocity of object = r(t)
To Prove : d = r*t ; only if velocity is constant .
d(t) = r(t) * t ;
by chain rule of differentiation
d(d(t))/dt = d(r(t))/dt * t + r(t) * d(t)/dt

if velocity is constant d(r(t))/dt = 0 ; ---->...

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Q) Let d(t) bethe position of an object at time t, and let r(t) be its velocity (r=d”). Useimplicit differentiation to show that the formula d=rt isvalid only when the object is moving with...

Answer To: Q) Let d(t) bethe position of an object at time t, and let r(t) be its velocity (r=d”)....

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