1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bogdanovich [222]
2 years ago
9

On the planet Jupiter, a ball this thrown upward at a velocity at 10m/s. It's height, h(t) meters after t seconds is given by th

e equation h(t)=-12.5(t-0.4)^2+4.
a) what is the maximum height the ball reaches?


b) what was the height of the ball when it was released from the throwers hand?


c) how many seconds after the ball was hit and did it land on the surface of Jupiter to the nearest second?
Mathematics
1 answer:
Ilya [14]2 years ago
6 0

Answer:

a) The maximum height that the ball reaches is 4 meters.

b) The height of the ball when it is released from thrower's hand is 2 meters.

c) The ball will take approximately 0.966 seconds to hit the surface of Jupiter.

Step-by-step explanation:

a) Let h(t) = -12.5\cdot (t-0.4)^{2}+4, where t and h(t) are the time and height, measured in seconds and meters. Since this equation is in vertex form, the maximum height corresponds to the value associated with the dependent variable (height). That is:

h(t) -4 = -12.5\cdot (t-0.4)^{2}

Hence, the maximum height that the ball reaches is 4 meters.

b) The height of the ball when the ball is released from thrower's hand is the height of the ball at t = 0\,s. Then, we evaluate the function:

h(0) = -12.5\cdot (0-0.4)^{2}+4

h(0) = 2\,m

The height of the ball when it is released from thrower's hand is 2 meters.

c) The instants when the ball hits the ground are those instants t so that h(t) = 0. Then:

-12.5\cdot (t-0.4)^{2}+4 = 0

-12.5\cdot (t^{2}-0.8\cdot t +0.16)+4 = 0

-12.5\cdot t^{2}+10\cdot t +2 = 0

By the Quadratic Formula we obtain the following roots:

t_{1} \approx 0.966\,s, t_{2}\approx -0.166\,s

Only the first root is physically reasonable, since time is a positive real variable.

The ball will take approximately 0.966 seconds to hit the surface of Jupiter.

You might be interested in
Pat is painting a stage backdrop for a play. The paint he is using covers 90 square feet per quart. How many quarts of paint sho
Scorpion4ik [409]
A) If you cut off half the peaks (3.5 ft down from the top), they will just fill the valleys making a rectangle 18.5 ft by 30 ft. The area is the product of these dimensions.
  A = (18.5 ft)*(30 ft) = 555 ft²

b) To determine the number of quarts of paint required, divide this number by 90 ft². Since you cannot buy a partial quart, if there is any remainder, use the next higher integer number of quarts.
  555/90 ≈ 6.2 so Pat should buy 7 quarts of paint.
4 0
3 years ago
The equation (2x^2 - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2) is an example
Nookie1986 [14]

The method used is Distributive Property.

<h3>What is Distributive property?</h3>

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Given:

(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)

Here the property used is Distributive property.

Because distributive property in this way

a*(b+c)= a*b+ a*c

This is how a is being multiplied by with b and c.

Learn more about this Distributive property here:

brainly.com/question/4136433

#SPJ1

8 0
2 years ago
Mai bought a magazine for $2.95. If she paid the clerk with x dollars, what would she receive back
Stolb23 [73]

Answer:

she would receive X-2.95

Step-by-step explanation:


4 0
3 years ago
If I have 10 crates of beer each with 12 bottles inside, selling each for R19.00 (South African currency Rand), how much money w
lakkis [162]

Answer: R2280

Step-by-step explanation:

Total crates = 10

Bottles in one crate = 12

Total bottles = 10 x 12 = 120

Price of 1 bottle = R19

Price of 120 bottles = R19 x 120 = R2280

8 0
2 years ago
Read 2 more answers
Please help i can't figure out if 1/2 comes first or if 1/4 comes first.​
fiasKO [112]

Answer:

1/4 goes first

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • BRAINLIEST AWARD WILL BE GIVEN! PLEASE HELP WITH MATH IVE BEEN ASKING FOR HOURS! PLEASE ANYONE!!!
    14·1 answer
  • What is the product? need help
    11·2 answers
  • NEED THIS ASAP Simplify 3^2 ⋅ 3^5.<br><br> A) 3^7<br><br> B)3^10<br><br> C)9^7<br><br> D)9^10
    8·1 answer
  • G is the same as the quotient of p and 140 write equation (IXL)
    11·1 answer
  • In a class of 36 girls, 18 play volleyball, 13 play table tennis , 11 play neither sport. determine the number of girls who play
    11·1 answer
  • Sarah is organizing a party at the Vine House Hotel. The Vine House Hotel provides her with the following
    7·2 answers
  • A student was asked to find a 90% confidence interval for the proportion of students who take notes using data from a random sam
    5·1 answer
  • What is the probability of
    11·1 answer
  • Help pls. This is proportional relationships in a graph?
    11·1 answer
  • Leo is buying a shirt for his grandfather for his upcoming birthday. The shirt cost $34.50 and a 6.5% sales tax is applied. How
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!