Question

A particle moves along the straight line y=d the speed of the particle is v m/s towards right then find d theta/dt

Answer 1

Explanation:

tan ∅ = perpendicular/base

From the figure, it is clear that

tan ∅ = x/D

∴ ∅ = tan^-1(x/D)

At first we will be calculating x;

Since, speed = v;

And , speed = distance / time

speed = x/t

∴ x = Vt

putting x = Vt in ∅, we get

∴ ∅ = tan^-1(Vt/D)

Now, we have to differentiate it to get da/dt

da/dt = 1/1+Vt^2 X V/D

= D X V / D^2 + V^2 X t^2