![liliaboop5006](/avatars/35377.jpg)
liliaboop5006
09.01.2020 •
Mathematics
Chase is standing at the base of a 60-foot cliff. he throws a rock in the air hoping to get the rock to the top of the cliff.
if the rock leaves his hand 6 ft. above the base at a velocity of 80 ft/s, does the rock get high enough to reach the top
of the cliff? how do you know? if so, how long does it take the rock to land on top of the cliff (assuming it lands on the
cliff)? graph the function and label the key features of the graph.
Solved
Show answers
More tips
- L Leisure and Entertainment How to Make a Crab Trap in Just a Few Minutes...
- H Health and Medicine How Much Does Abortion Cost? Expert Answers and Insights...
- S Sport How to Build Arm Muscles? Effective Exercises and Tips...
- H Health and Medicine When can it be said that a person has a normal pulse?...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
Answers on questions: Mathematics
- M Mathematics .................................................
- M Mathematics Mrs. Barnes had 1/4 of a bag of chips she wanted to share between herself, her daughter, her son, and her husband. How much of the chips does each person get?...
- M Mathematics PLZ PLZ PLZ HELP ME PLSSSSS...
- M Mathematics Ayuda es para hoy no quiero que me maten ...
- M Mathematics 22. (Calculate MEAN ABSOLUTE DEVIATION) Computer Prices: ($) 950 620 545 810 775 1.120 905 775 ...
- M Mathematics A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tallman is walking towards the wall at the rate of 30 feet per second. How fast is...
- M Mathematics Which of the following is equivalent to the expression 2(1-x)+3x...
- M Mathematics HELP PLZ OTS DUE RIGHT NOW SHOW WORK IF YOU CAN...
- M Mathematics Simplify - 2x + 3x – 4y - 5y...
- M Mathematics Help me plz and thank you...
Ответ:
1. the rock gets high enough to reach the top of the cliff
2.We know from the solution given above in answer 1
3. 0.804secs to reach the top of the cliff
4. look up the graph in the attached file
Step-by-step explanation:
Going by Newtons equation of motion , we have
h(t)=-16t^2+ut+h..............................1
juxtaposing into the equation we have
at maximum height
h(t)=the maximum height
t=time
u=initial velocity given as 80ft/s
a=acceleration due to gravity 32ft/s
h=initial height
since the rock is going against gravity, its going to be negative
dh/dt=o
differentiating 1 above we have
dh/dt=0=-32t+u
-80=-32t
t=2.5secs
to find the height it will get to at 2.5 secs will be
h(2.5)=-16(2.5)^2+80(2.5)+6
h(2.5)=106ft
1.the rock reaches a point higher than the cliff
2. we know from the solution given in 1
3.from the above equation
60=-16t^2+80(t)+6
54=-16t^2+80t
solving simultaneously
t=4.19s or 0.804secs
we go by 0.804secs
Ответ:
https://youtu.be/iik25wqIuFo
इसका उत्तर इस लिंक में है