A particle is moving along the curve $x = at^{2} + bt + c.\$If $ac = b^{2},$then particle would bemoving with uniform

Question

Dr. Abubacker · Accepted Answer

(c)
Given curve is $x = at^{2} + bt + c$
On differentiating w.r.t. $t$, we get
$\frac{dx}{dt} = 2at + b$
Again on differentiating, we get $\frac{d^{2}x}{dt^{2}} = 2a$

Q. A particle is moving along the curve $x = at^{2} + bt + c.\$If $ac = b^{2},$then particle would bemoving with uniform

Explanation

Reviewed by Dr. Abubacker

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