Question

A particle moves along the x-axis so that at any time t > 0 its velocity is given by v(t) = 10 – 3t2. If the particle is at position x = 8 at t = 1, what is the position of the particle at t = 3?

Answer 1

you should integrate V(t), then you get X(t) .. it is then easy to find the answer...

Answer 2

Integral of v(t) = 10 - 3t^2?

Answer 3

yes..

Answer 4

C - 3x^3 + 10x?

Answer 5

no.. it must be in terms of time t.. not x

Answer 6

Oh whoops I meant to write C - 3t^3 + 10t. Sorry

Answer 7

@oksuz_ What do I do now?

Answer 8

you should find what the C is .. you can use.. x=8, t=1

Answer 9

So plug 1 into t?

Answer 10

yes and 8 for x

Answer 11

Where is x in the integral?

Answer 12

not in the integral..it is result of the integral...

Answer 13

ahhh I am so confused! :(

Answer 14

x=10t-t^3 + C

Answer 15

Thank you!

Answer 16

yw

Answer 17

have you found the answer ?