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Lesechka [4]
3 years ago
10

Brian "bicycle kicked" a soccer ball up from a height of 4ft off the ground with an initial upward velocity of 34 feet/sec. As t

he ball was coming down, Mike jumped up and at 8 ft off the ground, headed it into the goal and win the game. How long did it take for the ball to come down and reach Mike's head?
Mathematics
1 answer:
N76 [4]3 years ago
3 0

Answer:

1.95 seconds or 2.06 seconds

(Depending on your acceleration value)

Step-by-step explanation:

s = ut + 0.5at²

u = 34 ft/s

a = -10 m/s² = -32.8084 ft/s²

s = 8-4 = 4 ft

4 = 34t + ½(-32.8084)t²

4 = 34t - 16.4042t²

16.4042t² - 34t + 4 = 0

t = 1.946, 0.125

Mike catches the ball the second time it was at a height of 8ft.

Do t = 1.95 s

If you use a = 32.17405 ft/s²,

t = 2.05655765 (2.06 seconds in 3 sf)

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Sarah left on the interstate at a speed of 65 mph. Her sister, Kendra, followed her on the same route, leaving 2
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The wrapping material used for the birthday gift was 546 in.² if the length of the box was 7 inches and the width is 6 inches. w
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You have been saving nickels, dimes, and quarters in a jar for about a year. You decide to see how much money you've saved up. W
anyanavicka [17]

Answer:

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

Step-by-step explanation:

Let

x = number of nickels

y = number of dimes

z = number of quarters

Total worth of the coins = $41.45

Total number of coins = 361

x + y + z = 361 (1)

dime = $0.1,

nickel = $0.05

quarter = $0.25

0.05x + 0.1y + 0.25z = 41.45 (2)

twice as many dimes as quarters.

y = 2z

Substitute y = 2z into (1) and (2)

x + 2z + z = 361

0.05x + 0.1(2z) + 0.25z = 41.45

x + 3z = 361

0.05x + 0.2z + 0.25z = 41.45

x + 3z = 361 (3)

0.05x + 0.45z = 41.45 (4)

Multiply (4) by 20

x + 3z = 361 (3)

x + 9z = 829 (5)

Subtract (3) from (5)

9z - 3z = 829 - 361

6z = 468

Divide both sides by 6

z = 468 / 6

= 78

z= 78

Recall,

y = 2z

= 2(78)

= 156

y = 156

Substitute the value of y and z into

x + y + z = 361

x + 156 + 78 = 361

x + 234 = 361

x = 361 - 234

= 127

x= 127

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

6 0
3 years ago
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