Question

The acceleration of an object can be described by the equation a=2d/t^2, where a is acceleration d is the distance, and t is time. if an object accelerates at a rate of 2(m/s^2) for 10 meters what is the total time elapsed?

Answer 1

\[A = \frac{ 2d }{ t^2 }\] fill in what the gave you

\[2=\frac{ 2(10) }{ t^2 }\] need to get t alone, mult both sides by t^2

Answer 2

hmm

Answer 3

what both sides?

Answer 4

right

what is 2 times t^2?

Answer 5

im confused will you explain it a little more.

Answer 6

i dont know how to times that.

Answer 7

\[2(t^2)=\frac{ 20(t^2) }{ t^2 }\] the 2 t^2 on the right cancel out

\[2t^2= 20\]

Answer 8

now divide both sides by 2

Answer 9

10?

Answer 10

t^2 = 10

Answer 11

to change the t^2 to just t, take the square root of both sides

Answer 12

\[t=\sqrt{10}\]

Answer 13

omg

Answer 14

thank you :D

Answer 15

is that good?

Answer 16

yes can u help with another simliar one?

Answer 17

I'll try

Answer 18

The acceleration of an object can be described by the equation a=2d/t^2, where a is acceleration d is the distance, and t is time. suppose an object accelerates for a distance of 15 meters. which of the following equations relates the time to the acceleration?

Answer 19

this time the only thing that give you is the distance. just sub it in

Answer 20

hmm what do you mean?

Answer 21

\[a =\frac{ 2(15) }{ t^2 }\] they tell you 15 is the distance...replace the d in the
formula with 15

Answer 22

okay, now what?

Answer 23

simplify 2*15

Answer 24

30

Answer 25

\[a=\frac{ 30 }{ t^2 }\]

Answer 26

yes. thank you :))

Answer 27

yw