Question

A particle move a distance x in time t according to equationx=(t+5)-1 the acceleration of particle is proportional to

Answer 1

Answer :


By the given condition,


distance (x) = (t + 5)⁻¹


Now, differentiating with respect to t, we get


velocity (v) = dx/dt = - (t + 5)⁻²


Again, differentiating with respect to t, we get


acceleration (a) = dv/dt = - 2 (t + 5)⁻³


⇨ a = - 2 (t + 5)⁻³


∴ a ∝x³


Therefore, we can conclude that acceleration is proportional to the cube of the distance travelled in time t


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Answer 2

Hey mate ⭐️⭐️

Here is Ur ans☺️

refer to the attachment⬆️⬆️


Hope it helps u

ße ßrainly..✨✨

@arsheen❤️❤️