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Daniel [21]
3 years ago
9

A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds),

elapsed after the launch, by the law h(t) = 20t - 5t2. According to this information, determine the height at which the ball is 3 seconds after the throw and the maximum height reached by the ball.
Mathematics
2 answers:
Over [174]3 years ago
5 0

Answer:

a. 15 meters.

b. 20 meters.

Step-by-step explanation:

a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.

The ball will be 15 meters high.

b. The maximum height reached by the ball.

To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.

In this case, a = -5 and b = 20.

-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.

Then, we find the y-coordinate by putting 2 where it says "t".

h(2) =  20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.

Hope this helps!

alex41 [277]3 years ago
3 0

Answer:

pen

Step-by-step explanation:

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It takes 4 hours to drive 240 miles. Select all the other trips that are traveling at the same rate.
kogti [31]

Answer:

60 mph

Step-by-step explanation:

Time:miles

4:240

1:x

To get x divide 240 by 4 because that's what we divided 4 by to get 1

The rate is 60

select all times with the rate of 60 mph

6 0
2 years ago
I need to find side x in its simplest radical form using the special right triangles method
crimeas [40]

Answer:

\sqrt{6}

Explanation:

From the given diagram,

Hypotenuse sde = x

Opposite side = \sqrt{3}

Using the SOH CAH TOA identity

Sintheta = opposite/hypotenuse

Sin 45 = \sqrt{3}/x

x = \sqrt{3}/sin45

\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}

Hence the value of x is \sqrt{6}

5 0
1 year ago
Resolver con proceso 3√256−3√16+3√54​
Valentin [98]
Jxjxjjxxnnxxjjzjzizizioa
6 0
2 years ago
HURRY I NEED HELP<br> I JUST NEED TO KNOW HOW TO DO THIS PLEASE <br> ILL GIVE 5 STARS AND STUFF PLS
timofeeve [1]

Answer:

On the left, it would be + 1 for each blank, and on the right it would also be +1 for each blank.

Step-by-step explanation:

They are asking for the intervals between each number.

Hope this helps!

3 0
2 years ago
Can you please answer this question?
liraira [26]
300miles/20sec=?miles/1min
900miles/60sec=?miles/1min
900miles/1min=?miles/min
?=900 miles
3 0
3 years ago
Read 2 more answers
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