00:01
Part a of this question asks us to find the average velocity.
00:05
And so we're going to do that using this formula.
00:07
We know t2 minus t1 is 10 seconds, but we need to know what x2 and x1 is, and we can get that by using the given form of x of t, and plugging in appropriate values of t.
00:21
Specifically, we need x of 10 seconds, and we need x of zero seconds.
00:32
X of zero seconds is easy.
00:34
Is just zero.
00:38
But x of 10 seconds, we have to remember that b and c are these values here.
00:42
And so we're just going to plug in 10 seconds for t here, and then b there, and c there.
00:48
And then use a calculator.
00:51
And once we do that, we get the x of 10 seconds is equal to 120 meters.
00:56
Now that we have these two values, we can use the average velocity formula here.
01:02
And we get 120 meters divided by t2 minus t1, which is 10 seconds.
01:11
And so the average velocity is 12 meters per second.
01:22
Onward to part b...