SOLUTION: A man is standing over a beach and throws a rock up in the air from a height of 192ft. the initial velocity is 64 ft. per second. The rock height=h above the beach, in feet, after
Algebra.Com
Question 775074: A man is standing over a beach and throws a rock up in the air from a height of 192ft. the initial velocity is 64 ft. per second. The rock height=h above the beach, in feet, after t seconds is given by the function
h(t)= -16t+64t+192
the -16t has an exponant of 2 but i could not figure out how to do it with my computer.
a) how high above the ground is the rock after 2 seconds?
b) How long will it take for the rock to raech the ground. o ft.?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A man is standing over a beach and throws a rock up in the air from a height of 192ft.
the initial velocity is 64 ft. per second.
The rock height=h above the beach, in feet, after t seconds is given by the function
h(t)= -16t^2 + 64t + 192; Use the "^", upper case 6
:
a) how high above the ground is the rock after 2 seconds?
Replace t with 2, solve for h(2)
h(2) = -16(2^2) + 64(2) + 192
h(2) = -64 + 128 + 192
h(2) = 256ft
:
b) How long will it take for the rock to raech the ground. o ft.?
The h= 0, so we have
-16t^2 + 64t + 192 = 0
Simplify, divide by -16
t^2 - 4t - 12 = 0
factors to
(t-6))(t+2) = 0
the positive solution is all we want here
t = 6 sec to reach ground
:
:
YOu can confirm this by finding h(t) when t = 6
RELATED QUESTIONS
AN Astronaut standing on the surface of the moon throws a rock into the air with and... (answered by ankor@dixie-net.com)
Use the function h(t)=−16t2+v0t+s to answer the question.
A man is standing on a (answered by ikleyn)
Use the function h(t)=−16t2+v0t+s to answer the question.
A man is standing on... (answered by ikleyn)
A man is standing on a cliff above a beach. He throws a rock upward at a speed of 70 feet (answered by Alan3354)
Shelly throws her keys up into the air, releasing them from a height of 4 ft. above the... (answered by ankor@dixie-net.com,Earlsdon)
The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/sec from a... (answered by josmiceli)
The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/s from a... (answered by ewatrrr)
Use the verticle height formula to solve the following h= -16t^ + intitial velocity +... (answered by ankor@dixie-net.com)
Marco throws a rock straight down from a point 1760 ft above ground, with an initial... (answered by nerdybill)