Question

If s=60+2t-10t2 is the displacement of the particle at time t, then find the rate of change in displacement w.r.t.t.​

Answer 1

SOLUTION

GIVEN

s = 60 + 2t - 10t² is the displacement of the particle at time t

TO DETERMINE

The rate of change in displacement with respect to t

EVALUATION

Here it is given that the displacement of the particle at time t is

s = 60 + 2t - 10t²

Differentiating both sides with respect to t we get

$\displaystyle \sf{ \frac{ds}{dt} = 0 + 2 - 20t }$

$\displaystyle \sf{ \implies \: \frac{ds}{dt} = 2 - 20t }$

FINAL ANSWER

The rate of change in displacement with respect to t = 2 - 20t

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