Question

A Point moves in a straight line so that its displacement x metre time t second is given by x² = 1 + t². Its acceleration in m/s at time t second is-

Options-
A)1/√x³
B)-t/x³
C)(1/x)-(t²/x³)

Answer is (C)..

Answer 1

Answer:

Step-by-step explanation:

x² = 1 + t²

Differentiate wrt time to find velocity.

2 x dx/dt = 2 t

v = dx/dt = x' = t/x or   t / √(1+t²)

Now, x x' = t

Differentiate wrt t.

   x x'' + x' = 1

   x'' = (1 - x')/x 

   a = d²x/dt² = [ √(1+t²) - t ] / [ 1 + t² ]

Hope it helps you...

Answer 2

Answer:

pls see the attachment