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
PSYCHO15rus [73]
3 years ago
5

A rock is thrown upward from a bridge into a river below. The function f(t)=−16t2+44t+138 determines the height of the rock abov

e the surface of the water (in feet) in terms of the number of seconds t since the rock was thrown. g
Physics
1 answer:
Likurg_2 [28]3 years ago
3 0

Answer:

a) 138 ft

b) 4.62 s

c) 1.375 s

d) 168.25 ft

Explanation:

The height of a rock (thrown from the top of a bridge) above the level of water surface as it varies with time when thrown is given in the question as

h = f(t) = -16t² + 44t + 138

with t in seconds, and h in feet

a) The bridge's height above the water.

At t=0 s, the rock is at the level of the Bridge's height.

At t = 0,

h = 0 + 0 + 138 = 138 ft

b) How many seconds after being thrown does the rock hit the water?

The rock hits the water surface when h = 0 ft. Solving,

h = f(t) = -16t² + 44t + 138 = 0

-16t² + 44t + 138 = 0

Solving this quadratic equation,

t = 4.62 s or t = -1.87 s

Since time cannot be negative,

t = 4.62 s

c) How many seconds after being thrown does the rock reach its maximum height above the water?

At maximum height or at the maximum of any function, the derivative of that function with respect to the independent variable is equal to 0.

At maximum height,

(dh/dt) = f'(t) = (df/dt) = 0

h = f(t) = -16t² + 44t + 138

(dh/dt) = (df/dt) = -32t + 44 = 0

32t = 44

t = (44/32)

t = 1.375 s

d) What is the rock's maximum height above the water?

The maximum height occurs at t = 1.375 s,

Substituting this for t in the height equation,

h = f(t) = -16t² + 44t + 138

At t = 1.375 s, h = maximum height = H

H = f(1.375) = -16(1.375²) + 44(1.375) + 138

H = 168.25 ft

Hope this Helps!!!

You might be interested in
Need help will mark you the Brainliest
Hatshy [7]
The last one is correct (D)
8 0
2 years ago
What measures the distance between two consecutive crests of a wave?
aleksley [76]
The answer is d. Wavelength
4 0
3 years ago
!!!HELP ASAP!!!<br>in witch situation is work being done?<br>theres a photo added.​
Arturiano [62]
C..............................
8 0
3 years ago
The generation of a magnetic field by an electric current is _____
lara [203]

The generation of a magnetic field by an electric current is _electromagnetism_.

7 0
3 years ago
Read 2 more answers
an object of mass 8 kg is whriled round in a vertical circle of radius 2m with a constant speed of 6m/s .Then the maximum and mi
algol13

Answer:

Maximum Tension=224N

Minimum tension= 64N

Explanation:

Given

mass =8 kg

constant speed = 6m/s .

g=10m/s^2

Maximum Tension= [(mv^2/ r) + (mg)]

Minimum tension= [(mv^2/ r) - (mg)]

Then substitute the values,

Maximum Tension= [8 × 6^2)/2 +(8×9.8)] = 224N

Minimum tension= [8 × 6^2)/2 -(8×9.8)]

=64N

Hence, Minimum tension and maximum Tension are =64N and 2224N respectively

5 0
2 years ago
Other questions:
  • The power rating of a light bulb (such as a 100-W bulb) is the power it dissipates when connected across a 120-V potential diffe
    9·2 answers
  • Susan works 8 hours a day and makes $7.00 per hour. How much money does Susan earn in one week if she
    7·2 answers
  • Jeremy accidently dropped his toy stuffed animal from the balcony of his apartment on the fourth floor. The toy hit the ground a
    15·2 answers
  • A driver, traveling at 22.0 m/s, slows down her 2.00 x 103 kg car to stop for a red light. What work is done by the friction for
    8·1 answer
  • Th e heat capacity of air is much smaller than that of water, and relatively modest amounts of heat are needed to change its tem
    12·2 answers
  • What is the approximate radius of Pluto? (Pluto's mass is 1.1 × 1022 kilograms, and the acceleration due to gravity at its surfa
    11·1 answer
  • How many meters did the car go in the first 4 seconds?​
    10·1 answer
  • How long will it take for a rock to fall 50 meters
    12·1 answer
  • Rice in a bowl has a volume of 84 cubic centimeters and a mass of 63 grams . Calculate its destiny
    13·2 answers
  • When two forces are the same strength but act in opposite direction , they are called
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!