00:01
All right, so let's say the position of an object on an arcade game is, or an arcade game screen is 8 .514 minus 0 .714t cubed.
00:12
And the screen is located at x equals zero, or the edges, excuse me, are located x equals 0 and 14 centimeters.
00:20
So we want to know at what time after starting is the spot instantaneously at rest.
00:27
So basically, where is the velocity equal to zero? so the velocity as a function of time is going to be 8 .54 minus 2 .14 t squared.
00:38
And if we set that equal to zero, the solution to that, we'll call it t -not.
00:42
All right, so this is 1 .997 seconds.
00:48
And then for part b, what value of x does this occur at? so x at t -0 is equal to, all right, so let's...
00:57
11 .37 centimeters.
01:00
And then at what is the spot's acceleration when this occurs? so the acceleration as a function of time is just going to be negative 4 .284.
01:10
T...