arnohmata
19.06.2021 •
Mathematics
A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t seconds after launch is given by f(t)= -34t+291.
Between 1 second and 8 seconds, the ball's height changed by ... feet.
(Round answer to the nearest tenth.)
Solved
Show answers
More tips
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- F Family and Home How to Remove Tar Stains: Tips and Recommendations from Experts...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- S Sport How to Do a Jumping Split...
- H Health and Medicine How Did Inna Lose Weight on Dom 2?...
- F Family and Home How to Properly Fold Napkins in a Napkin Holder?...
- F Food and Cooking How to Set Up Ventrilo - The Ultimate Guide...
- S Science and Technology How to Make a Homemade Smoker: The Ultimate Guide...
- A Auto and Moto Battle for the Relocation of The Cherkizovsky Market: Who Won?...
- C Computers and Internet How Do You Refill Cartridges?...
Answers on questions: Mathematics
- M Mathematics You are manager of a specialty coffee shop and collect data throughout a full day regarding waiting time for customers from the time they enter the shop until the time they pick up...
- W World Languages tamara vistar ma metro train nu lagbhag cho mahina thi chali rahyu che jethi khubchandani mushkeli thai che kaam jaldi patava mate municipal corporation be patra lakho...
- M Mathematics Taxes are what the government levies upon us to obtain the money needed tooperate true or false...
- M Mathematics If 8x = 24, then 24= 8x what property is this...
- M Mathematics Factor the polynomial below. 9x squared minus 16y squared...
Ответ:
966 feet
Step-by-step explanation:
First, we can see that we have the velocity function given, a base value for the height, and need to figure out the change in height. We also know that velocity is the derivative of position/height. Thus, we can find the integral of the velocity to find an equation for the height.
Use the exponent rule to turn -34t into -17t² and 291 into 291t to get our result as
-17t²+291t + C = height (h)
When t=0, we know that our height (h) is 6, so C = 6, making our equation
-17t²+291t + 6
To find the change between 1 second and 8 seconds, we can plug 1 and 8 in for t, and find the difference between those values, which is
(-17(8)²+291(8) + 6) - ( -17(1)²+291(1) + 6 )
= 1246 - 280
= 966
Note that we did final value (t = 8) - initial value (t=1), not the other way around
The change in height, between 1 second and 8 seconds, is therefore 966 feet
Ответ:
The fraction 74/85 is equal to 74÷85 and can also be expressed in decimal form as 0.870588.