Question

A particle moves along x-axis.It starts from rest at origin O and its acceleration after t sec is given by a=3-t . Calculate the displacment from O when it is at rest.

Answer 1

@saifoo.khan

Answer 2

Can you do it ?

Answer 3

find antiderivative twice for a = 3-t

Answer 4

integrate.
a=3-t

v = 3t - t^2/2 + C

Now set it equal to zero to get time.

Then integrate again, find the disp.

Answer 5

Therefore, the answer is 18.

Something which appeared in the (NUST) test.

Answer 6

@saifoo.khan

Answer 7

REALLY? O_O

Answer 8

Yeah

Answer 9

An O'levels student who have Add math can solve this too! D: D: D:

Answer 10

Hmm,good :)

Answer 11

What about hyperbolic functions ?

You've done that ?

Answer 12

give me the problem, then i can tlel.

Answer 13

\[\int\limits_{}^{}e^x[\sinh^{-1} x+\frac{ 1 }{ \sqrt{1+x^2} }]dx=\]

Answer 14

@saifoo.khan Like this.

Answer 15

INtegration by parts?

Answer 16

idk how to deal with sinh^-1

Answer 17

So you don't know hyperbolic functions ?

Answer 18

use e^x(f(x) + f'(x)) rule
differentiation of arcsinh(x) = 1/sqrt(...)

Answer 19

I guess no, then. :S

Answer 20

hmm

No need to worry about that it's easy,you can do that later.


What about finding the area from a diag ?

Answer 21

We have to learn that parallelogram thing. But i can find the area/vol of a curve and stuff

Answer 22

Lets see.

find the Area A+B