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elena-s [515]
2 years ago
5

His height while on the second roller coaster, measured in feet from the platform helght, can be modeled by a trigonometric func

tion, shown in
this table, where tis the number of seconds since the ride began.
C
0 20
40
60
80
100
120
140
160
g(0) 0 50
100
50
0
-50
-100
-50
0
Which two statements best describe Michael's height while on the two roller coasters?
On the second roller coaster, Michael's height switches from positive to negative approximately
every 20 seconds.
On the first roller coaster, Michael's height switches from positive to negative approximately every
80 seconds.
On the second roller coaster, Michael's height switches from positive to negative approximately
every 40 seconds.
On the second roller coaster, Michael's height switches from positive to negative approximately
every 80 seconds.
On the first roller coaster, Michael's height
20 seconds.
itches from positive to negative approximately every
On the first roller coaster, Michael's height switches from positive to negative approximately every
40 seconds.

Mathematics
1 answer:
Alja [10]2 years ago
4 0

Answer:C.

Step-by-step explanation:

Hope this helps you ツ.

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In a volleyball game, a player on one team spikes the ball over the net when the ball is 10 feet above the court. The spike driv
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Answer:

4.75 seconds

Step-by-step explanation:

Initial height of the ball from the ground = 10 feet

Upward initial velocity given = 55 feet per second

Value of g ( acceleration due to gravity) = 32.2 feet per s²

Motion of the ball:

The ball first goes vertically upwards, gravity decelerates the body and it momentarily comes to rest at a point in its upward trajectory, which is the point of maximum height. From this point, to the ground, the ball behaves as a freely dropped body.

Till the ball reaches its maximum height:

u = + 55

v = 0 ( final velocity is zero)

a = - 32.2 (since it is deceleration)

we know that <em>v = u + at </em>

⇒    0 = 55 - 32.2t

⇒  t = 1.7 s

Also , we have <em>s = ut + (1/2)at²</em>

Here, s is the maximum height from the point where ball is thrown

So,     s = 55(1.7) - (0.5)(32.2)(1.7)(1.7)

⇒ s = 140 feet

So at a height of 140 feet + 10 feet (initial height) = 150 feet, the ball acts as a freely dropped body.

Here,      u = 0

               a = +32.2

               s= 150

<em>s = ut + (1/2)at²</em>

⇒  150 = 0.5 ( 32.2) (t²)

⇒  t² = 300/32.2 = 9.31

⇒ t = 3.05 sec

So total time = 1.7 + 3.05 = 4.75 seconds

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3 0
2 years ago
2(x + 2) + 3z = 2(x + 1) +1
Oxana [17]

Answer:

Answer:x=

−3z−1

0

Step-by-step explanation:x=

Step 1: Add -2x to both sides.

2x+3z+4+−2x=2x+3+−2x

3z+4=3

Step 2: Add -3z to both sides.

3z+4+−3z=3+−3z

4=−3z+3

Step 3: Add -4 to both sides.

4+−4=−3z+3+−4

0=−3z−1

Step 4: Divide both sides by 0.

0

0

=

−3z−1

0

x=

−3z−1

0

6 0
2 years ago
Read 2 more answers
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