aspifsGak5u

2021-12-28

If a projectile is fired straight upward from the ground with an initial speed of 128 feet per second, then its height h in feet aftert seconds is given by the function h(t) = -16t + 128t. Find the maximum height of the projectile.

Louis Page

Beginner2021-12-29Added 34 answers

Given height function

We have to find the maximum height of the projectile.

So,

To get the critical point, we put

So, the critical point is

Now,

So,

at

So, by second derivativetest, h(t) has maximum value at

Henca, the maximum height of the projective is 256 feet.

Mary Goodson

Beginner2021-12-30Added 37 answers

complete the square

This is an equation of a parabola that opens upward with vertex at (2,64) maximum height of the projectile

user_27qwe

Skilled2022-01-05Added 375 answers

For this case we have the following function:

Deriving the function we have:

h'(t)=-32t + 128

Equaling zero we have:

-32t + 128 = 0

We clear the time:

t = 4

Substituting in the height equation:

h(4) = 256 feet

Answer:

The maximum height is:

h (4) = 256 feet

Mr Solver

Skilled2023-06-16Added 147 answers

madeleinejames20

Skilled2023-06-16Added 165 answers

22+64

When a cold drink is taken from a refrigerator, its temperature is 5 degree C. After 25 minutes in a 20 degree C room its temperature has increased to 10 degree C. What is the temperature of the drink after 50 minutes?

How many minutes are there in $2\frac{3}{5}$ hours?

Find the answer for $64$ power $\frac{1}{6}$.

The following law describes the relationship between gas volume and pressure: ________. A)Boyle's law; B)Henry's law; C)Charles' law; D)Dalton's law

If an electric switch is open then no current flows through the circuit.

A)True;

B)FalseThe price elasticity of supply of a good is 0.8. Its price rises by 50 per cent. Calculate the percentage increase in its supply.

How many quarts are in 10 gallons?

When the net force acting on an object is zero, the total momentum of the system will:

A)remain constant;

B)increase with time;

C)decrease with time;

D)None of theseHow many centimeters are in four meters?

A notebook computer has a mass of 2.25 kilograms. About how many pounds does the notebook weigh?

If the dot product of two non-zero vectors is zero, then the vectors A)are parallel to each other. B)are perpendicular to each other. C)can have any orientation. D)are anti-parallel to each other.

Which is longer 5 miles or 10 kilometers?

9 grams is how many milligrams?

How to write $673.5$ in scientific notation?