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
OLEGan [10]
3 years ago
5

If a ball is thrown vertically upward with a velocity of 160 ft/s, then its height after t seconds is s = 160t − 16t2. (a) What

is the maximum height reached by the ball?
Physics
1 answer:
romanna [79]3 years ago
4 0

Answer:

s = 400 ft

The maximum height reached by the ball is 400 ft

Explanation:

Given;

Initial vertical velocity v = 160 ft/s

Height function s = 160t - 16t^2 ......1

The maximum height is reached when the change in height with respect to time is zero.

ds/dt = 0

Differentiating the height function;

ds/dt = 160 - 32t = 0

160 - 32t = 0

Solving for t;

32t = 160

t = 160/32

t = 5 seconds

Therefore, the maximum height is at t = 5;

Substituting into equation 1 (the height function)

s = 160(5) - 16(5^2)

s = 800 - 400

s = 400 ft

The maximum height reached by the ball is 400 ft

You might be interested in
Which insurance would contradict the big bang theory
n200080 [17]
The Big Bang theory suggests that the universe is constantly expanding and that stars, galaxies and other entities are moving away from each other. If there were a galaxy moving closer to earth then that would contradict the Big Bang theory since the entities should be moving away from earth and from each other.
7 0
3 years ago
What is the tail of a comet made of
ycow [4]
The tail consists of gas and dust that can extend hundreds of millions of kilometers away from the coma. Most comets actually have 2 tails: a plasma tail made of ionizedgas, and a dust tail made of small solidparticles. Comet tails point away from the Sun.
3 0
3 years ago
0.500 kg of ethyl alcohol at 33.0°C
Bingel [31]

Answer:

26.06

Explanation:

One thing to note first is that, after the ethyl alcohol and water is mixed, the heat energy (Q) is equal for both of them. So:    

<h3>m c ΔT (water) = m c ΔT (ethyl) </h3>

Second thing to note is that ΔT is just the absolute value of the final temperature of the solution minus the initial temperature of the ethyl, or water. So the previous equation becomes:

<h3>m c (Tfin - Tinit) (water) = m c (Tfin - Tinit) (ethyl) </h3>

And since we know the mass and specific heat of the water and ethyl alcohol, we can substitute those in:

<h3>2093(Tfin - 22) = 1225(33 - Tfin) </h3>

(I wrote 33 - Tfin for ethyl because ΔT should be a positive number in this case)

Now finally we can expand out the parenthesis and use a little algebra to solve:

<h3>2093Tfin - 46046 = 40425 - 1225Tfin</h3>

Now use algebra to separate the Tfin coefficients onto one side and everything else on the other, and we get:

<h3>3318Tfin = 86471</h3>

And when you divide both sides be 3318, you get your answer of:

<h3>Tfin = 26.06118 or 26.1 for significant figures</h3>

Hope that helps!

3 0
4 years ago
A stone is dropped from a height 1.8m. What will be it's velocity when it reaches the ground?
Dimas [21]

nothing will happen to the stone

3 0
3 years ago
In order of fastest to slowest, how do sound waves travel through different mediums?
Nikitich [7]
Gases, liquids, solids
7 0
3 years ago
Other questions:
  • How far is Jupiter from the sun?
    10·2 answers
  • Define Potential Difference ​
    9·1 answer
  • Draw two unique free body diagrams that each show a net force of 30 N to the left.​
    5·1 answer
  • A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min.
    7·1 answer
  • A subway train starts from rest at a station and accelerates at a rate of 1.68 m/s2 for 14.2 s. It runs at constant speed for 68
    14·2 answers
  • Pigments that ABSORB all colors look _____.<br> Pigment that REFLECT all colors look _____.
    5·1 answer
  • What is the formula for momentum? *<br><br> p = m/v<br> f = m x a<br> f = m/s<br> p = m x v
    14·1 answer
  • If the mass of an object is 5 kg, the gravitational field strength is 2 and the change in height is 5 m, what is the change in g
    8·1 answer
  • Freddie drives his car 10 km North. He stops for gas and then drives 5 km South.
    10·1 answer
  • A 1.5 x 10^3 kilogram car is moving at 10 meters per second east. A braking force acts on the car for 5.0 seconds, reducing its
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!