Answer:
Step-by-step explanation:
Use the formula for a semicircle's perimeter.
Plug in 6 for d.
Let's use 3.14 for , just to make it easier, but of course, if it states to round it to something else, just plug in that many values for
.
Can you please help?
1 answer:
Answer:
6.5 km per minute
Step-by-step explanation:
To calculate the average speed, you add the speed of one trip to the speed of the other then divide by 2.
The first trip was a speed of 80km/10 minutes or 8km per 1 minute.
The second trip was a speed of 100km/20 minutes or 5km per 1 minute.
To find the average, add and divide by 2:
km per minute
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Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.