00:01
Okay, we're given information about the car speeding up and the car slowing down.
00:04
The only thing tricky about this is the units.
00:08
We have to make sure we have everything in the right units.
00:10
I'm going to go, so my distances are in feet, my velocities are in feet per second, and my acceleration then will be in feet per second squared.
00:23
If they were in the right unit, i didn't include it.
00:27
But here, so this distance, given in miles, i'm going to change that to feet.
00:32
So i'm just going to throw my little conversion in here.
00:36
I know there's 5 ,280 feet in a mile.
00:50
So that turns out to be 13 .20.
00:57
So now that's in the right unit.
00:59
So that's in feet now.
01:00
These are already in the right unit.
01:02
So i just need to choose an equation and solve.
01:05
It looks like the equations that have all these is the displacement equation.
01:19
My initial velocity is zero.
01:22
I know my displacement.
01:27
I'm looking for the acceleration and i know the time.
01:35
So i just solve that for a and i get 6 .67.
01:43
So it be feet per second per second.
01:47
Feet per second squared.
01:53
And then i give some information about it slowing down.
01:56
So once again, i was given miles per hour.
02:00
I need that to be feet per second.
02:02
So i'm just going to throw in my conversions here.
02:04
Mile on the bottom so it cancels 5 ,280 feet.
02:15
I also need to convert the time.
02:17
Hours is on the bottom, so i need hours on the top.
02:20
One hours is the same as 3 ,600 seconds.
02:27
So that turns out to be 88 .80 .8 .0, i guess.
02:33
And that's in feet per second now.
02:41
Okay, um, looks like i will use the final velocity squared equation here.
02:48
So this is just one of the three main kinematic equations.
03:00
I just fill my numbers and solve.
03:02
I'm looking for the final velocity.
03:05
No, i'm looking for the acceleration.
03:10
I know the initial velocity is 88...