Question

Differentitate

Answer 1

The displacement of a body is given by
\[r=\sqrt{a ^{2}-b ^{2}} +tcos t ^{2}\]

Answer 2

With respect to?

Answer 3

where t is time and is constant ans a is constant. Its velocity is

Answer 4

I hope you know velocity dr/dt

Answer 5

yeahhh

Answer 6

should i tell u velocity

Answer 7

Simply differentiate.

Answer 8

lol wait

Answer 9

with respect to t right ?

Answer 10

ofcourse

Answer 11

^^
its easy then u can do it

Answer 12

I got the part uhh after the + sign

but that (a^2-t^2)^1/2

Answer 13

@AravindG

Answer 14

t or b?

Answer 15

\[\sqrt{a^2-b^2}=constant\]
\[\therefore its derivate =0\]

Answer 16

@No.name correct?

Answer 17

Sorry it is ^

Answer 18

Good. I thought so too.

Take a^2-t^2=u

Then do the normal differentiation with chain rule in the end.

Answer 19

then
\[1/\sqrt{x}=-1/2\sqrt{x}\]

Answer 20

I did that i am getting
\[\frac{ a-t }{ \sqrt{a ^{2}-t ^{2}} }\]

Answer 21

a is constant right?