Question

A particle moves along a straight line with equation of motion s = t^{5} - 4 t^{4} Find the value of t (other than 0 ) at which the acceleration is equal to zero.

Answer 1

To find the equation of acceleration, you need to take derivative of equation of motion twice.

Answer 2

Can you find acceleration? @manhani

Answer 3

20t^3-48t^2

Answer 4

Yeah, looks good. Now set it equals to 0. Can you solve for t?

Answer 5

do i factor it

Answer 6

Yes. factor \(t^2\) out

Answer 7

tsq(20t-48)

Answer 8

you can take out a 4

Answer 9

yeah was about to say that lol

Answer 10

so factor out \(4t^2\)

Answer 11

4t2(5t-12)

Answer 12

So you have \(4t^2(5t-12)=0\)

Either \(4t^2=0\) (t is 0 so we ignore it) or \(5t-12=0\)

So solve for t in \(5t-12=0\)

Answer 13

12/5

Answer 14

thank you

Answer 15

No problem