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
Amanda [17]
3 years ago
14

One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air.

The height of the ball is modeled by the equation h(t)= -16t^2+39t. if the bell is 25ft above the ground, will it be hit by the ball?
Physics
1 answer:
RoseWind [281]3 years ago
8 0

Answer:

Ball will not hit bell.

Explanation:

The height of the ball is modeled by the equation h(t)= -16t²+39t

We need to find if the bell is 25 ft above the ground, will it be hit by the ball.

So we need to find maximum height of the ball.

For maximum height we have

                   \frac{dh}{dt}=0\\\\\frac{d}{dt}\left ( -16t^2+39t\right )=0\\\\-32t+39=0\\\\t=1.22s

Substituting in h(t) = -16t²+39t

Maximum height reached = h(1.22) = -16 x 1.22²+39 x 1.22 = 23.77 ft

So maximum height reached is less than height of bell.

Ball will not hit bell.

You might be interested in
Write a difference between force and work? ​
Nesterboy [21]

Answer:

force is a derived quantity

work is a fundamental quantity

2.Force is measured in Newton why work is measured in Newton per seconds (N/s)

Explanation:

no

3 0
3 years ago
Read 2 more answers
for any object suspended by any number of ropes, wires, or chains, how is the total amount of tension (tension in each rope adde
Sveta_85 [38]

Answer:

To calculate the tension on a rope holding 1 object, multiply the mass and gravitational acceleration of the object. If the object is experiencing any other acceleration, multiply that acceleration by the mass and add it to your first total.

Explanation:

The tension in a given strand of string or rope is a result of the forces pulling on the rope from either end. As a reminder, force = mass × acceleration. Assuming the rope is stretched tightly, any change in acceleration or mass in objects the rope is supporting will cause a change in tension in the rope. Don't forget the constant acceleration due to gravity - even if a system is at rest, its components are subject to this force. We can think of a tension in a given rope as T = (m × g) + (m × a), where "g" is the acceleration due to gravity of any objects the rope is supporting and "a" is any other acceleration on any objects the rope is supporting.[2]

For the purposes of most physics problems, we assume ideal strings - in other words, that our rope, cable, etc. is thin, massless, and can't be stretched or broken.

As an example, let's consider a system where a weight hangs from a wooden beam via a single rope (see picture). Neither the weight nor the rope are moving - the entire system is at rest. Because of this, we know that, for the weight to be held in equilibrium, the tension force must equal the force of gravity on the weight. In other words, Tension (Ft) = Force of gravity (Fg) = m × g.

Assuming a 10 kg weight, then, the tension force is 10 kg × 9.8 m/s2 = 98 Newtons.

7 0
3 years ago
Complete the following sentence: How much you pay in taxes depends on _________________________.
solong [7]

Answer:

How much you pay in taxes depends on the amount of your taxable income

Explanation:

The total amount expected to be payed as taxes is a factor of the amount of taxable income earned within the given tax period.

The taxable income is found by subtracting the amount of deductions and exemption allowed in the tax year from the gross income. It is also specified as the adjusted gross income

The set marginal  tax rate indicates the percentage of the taxable income that is to be paid as taxes, such that there are three different ranges or tax brackets and taxes are paid according to the bracket to which a taxable income belongs.

3 0
3 years ago
10. Hamilton How long does it take Lewis travelling at 156 m.p.h to cover 16 miles?
Anvisha [2.4K]

Answer: Hello!

Lewis is travelling at 165 mph, which means miles per hour, this says that he does 165 miles in one hour.

We want to know how much time takes to cover 16 miles.

this can be calculated as the quotient of the distance and the velocity; this is:

t = \frac{16 mi}{165 mi/h} = 0.096 h

if we want to write this in minutes, then:

we know that one hour has 60 minutes, then 0.096 hours has:

0.096h*60mins/1h = 5.8 minutes.

then Lewis needs 5.8 minutes in order to cover 16 miles if his speed is 156 miles per hour.

6 0
3 years ago
Read 2 more answers
A cork able to float on water because it is
Schach [20]
A cork is less dense
8 0
3 years ago
Other questions:
  • To practice Problem-Solving Strategy 30.1: Inductors in Circuits. A circuit has a 1 V battery connected in series with a switch.
    6·1 answer
  • What distance formula
    15·1 answer
  • True or False<br><br> The greater the speed of an object, the less kinetic energy it possesses.
    7·2 answers
  • Many hard-of-hearing people like sound compressed because they remain sensitive to ________ sounds. prolonged high-pitched frequ
    5·1 answer
  • A-delta fibers : A) are small, myelinated fibers. B) transmit pain signals at a slower rate than C-fibers. C) typically transmit
    7·1 answer
  • SOHCAHTOA MATH REVIEW <br><br> Find the angle x from the diagram above
    9·1 answer
  • which of these rocks are formed by volcanic activity? select the two correct answers. a. limestone b. granite c. marble d. basal
    5·2 answers
  • You are trying to tune the fifth string on your guitar, which is supposed to sound the A2 note (i.e., a note two octaves below A
    10·1 answer
  • A) Give 3 examples of forces that are pulls and 3 examples that are pushes. b) For each example you give, state an approximate v
    7·1 answer
  • . The penalties for a person's second DUI conviction include completion of __________ hours of DUI school.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!