I thought I saw this one earlier and there were people answering. Guess not.
h(t) = 5 + 98t - 4.9t²
h(0) = 5 meters
h(5) = 5 + 98(5) - 4.9(5)² = 372.5 meters
h(10) = 5 + 98(10) - 4.9(10)² = 5 + 980 - 490 = 495 meters
h(15) = 5 + 98(15) - 4.9(15²) = 372.5 meters
h(20) = 5 meters
I'll leave the graphing to you, plot those points
(0,5), (5,372,5),(10,495),(15,372.5) (20,5)
and connect the dots
It's coming down pretty fast at 5 feet up 20 seconds. That last bit is 5/495 or 1% of the trip, so probably double the average speed of around 50m/s so 100msec or .05 sec to go 5 meters.
So it's in the ground at about 20.05 seconds after launch.
Answer: 20.05 meters
Answer:
length = 10 cm; width = 25 cm
Step-by-step explanation:
Let's call the length 2x and the width 5x. Since perimeter can be calculated by multiplying the sum of the length and width by 2 we can write:
2 * (2x + 5x) = 70
2 * (7x) = 70
7x = 35
x = 5 which means the length is 2 * 5 = 10 and the width is 5 * 5 = 25.
Answer:
The first shape is triangle; area of a triangle = 1/2*b*h
= 1/2*7*3
= 1/2*21
= 21/2
= 10.5
The second shape is rectangle; area of rectangle = l*b
= 7*3
= 21
Total area:
10.5+21
= 31.5
Answer:
3 1/4(-2 2/3) = -6 2/12
Step-by-step explanation:
3 * -2 = -6
1/4 * - 2/3 = -2/12
-6 + -2/12 = -6 2/12
-6 1/6
hope this helped.