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
Rasek [7]
3 years ago
15

Match each scenario involving projectile motion with the equation that describes the height of the object at time t. Tiles h = -

4.9t2 + 5 h = -4.9t2 + 1.5 h = -16t2 + 73t + 1.5 h = -16t2 + 5 h = -16t2 + 73t + 5 h = -4.9t2 + 73t + 1.5 Pairs Dwayne throws a ball with an initial velocity of 73 feet/second. Dwayne holds the ball 5 feet off the ground before throwing it. A watermelon falls from a height of 5 feet to splatter on the ground below. Marcella shoots a foam dart at a target. She holds the dart gun 1.5 meters off the ground before firing. The dart leaves the gun traveling 73 meters/second. Greg drops a life raft off the side of a boat 1.5 meters above the water.
Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

  1. h = -16t^2 + 73t + 5
  2. h = -16t^2 + 5
  3. h = -4.9t^2 + 73t + 1.5
  4. h = -4.9t^2 + 1.5

Step-by-step explanation:

The general equation we use for ballistic motion is ...

  h(t)=\frac{1}{2}gt^2+v_0t+h_0

where g is the acceleration due to gravity, v₀ is the initial upward velocity, and h₀ is the initial height.

The values of g commonly used are -32 ft/s², or -4.9 m/s². Units are consistent when the former is used with velocity in ft/s and height in feet. The latter is used when velocity is in m/s, and height is in meters.

_____

Dwayne throws a ball with an initial velocity of 73 feet/second. Dwayne holds the ball 5 feet off the ground before throwing it. (h = -16t^2 + 73t + 5)

A watermelon falls from a height of 5 feet to splatter on the ground below. (h = -16t^2 + 5)

Marcella shoots a foam dart at a target. She holds the dart gun 1.5 meters off the ground before firing. The dart leaves the gun traveling 73 meters/second. (h = -4.9t^2 + 73t + 1.5)

Greg drops a life raft off the side of a boat 1.5 meters above the water. (h = -4.9t^2 + 1.5)

_____

<em>Additional comment on these scenarios</em>

The dart and ball are described as being launched at 73 units per second. Generally, we expect launches of these kinds of objects to have a significant horizontal component. However, these equations are only for <em>vertical</em> motion, so we must assume the launches are <em>straight up</em> (or that the up-directed component of motion is 73 units/second).

You might be interested in
Show the ratios are equivalent by simplifying any 4 of them.
aliya0001 [1]
When simplified all of them equal 3/1. They are asking you to just chose 4 of them. Hope that helps!
4 0
3 years ago
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
nlexa [21]

Answer:

Step-by-step explanation:

(1,4)

5 0
3 years ago
Read 2 more answers
PLEASE ANSWER FAST!<br> you dont have to explain but im trusting on u have a good day
JulsSmile [24]

Answer:

126 square inches

Step-by-step explanation:

The area of the figure = area of the parallelogram + area of the square + area of the rectangle

✔️Area of the parallelogram = b*h

b = 10 in.

h = 3.5 in.

Area = 10*3.5

Area = 35 in.²

✔️Area of the square = s²

s = 4 in.

Area = 4²

Area = 16 in.²

✔️Area of the rectangle = L*W

L = 12.5 in.

W = 6 in.

Area = 12.5*6

Area = 75 in.²

✅Area of the figure = 35 + 16 + 75

= 126 in.²

8 0
2 years ago
The shape of the sign outside Bob's Burger Barn is a regular octagon. How many degrees are in the measure of an interior angle o
DochEvi [55]

Answer:

An octagon has eight interior angles.

Interior angle total sum = (n-2) x 180, where n = number of sides.

Since an octagon has 8 sides, we have:

6 x 180 / 8, which is 135.

The answer is 135.

Let me know if this helps!

7 0
3 years ago
Read 2 more answers
Evaluate the expression shown for x = 9.
tatiyna

Answer:

B. 1/2

Step-by-step explanation:

Make 9 an improper fraction, then multiply by -5/6.

-5/6 times 9/1 = -45/6.

-45/6 cannot be simplified, so you make it a mixed number.

-7 1/2.

Add the 7 to -7 1/2 and that cancels out to 1/2

4 0
2 years ago
Other questions:
  • Given that f(x) = x² + 5x, evaluate f(-2).<br><br> -6<br> -14<br> 7
    8·1 answer
  • What is 20 feet to 8 yards in simplest form
    11·1 answer
  • Solve for x.<br> (4x + 7)<br> (2x + 5)
    11·1 answer
  • What is the square root of ten
    10·1 answer
  • Which number, when placed in the box, will make the equation true?
    14·1 answer
  • WILL GIVE BRANLIEST TO WHOEVER ANSWERS CORRECTLY. Find quadratic equation for the x-intercepts of (6,0) and (26,0)
    10·1 answer
  • 1. *
    5·1 answer
  • 4400 dollars is place in an account with annual interest rate of 8.25% How much will be in the account after 22years to the near
    12·1 answer
  • Jerry uses 7/5 quarts of oil to change his car's oil. Which mixed number represents the quarts of oil he used
    6·1 answer
  • 1. A polynomial function and its graph is shown below.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!