SOLUTION: golf ball is hit at ground level. The ball is
observed to reach its maximum height above
ground level 6.9 s after being hit. 1.1 s after
reaching this maximum height, the ball i
Algebra.Com
Question 214252: golf ball is hit at ground level. The ball is
observed to reach its maximum height above
ground level 6.9 s after being hit. 1.1 s after
reaching this maximum height, the ball is
observed to barely clear a fence that is 357 ft
from where it was hit.
The acceleration of gravity is 32 ft/s2 .
How high is the fence? Answer in units of
ft.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
golf ball is hit at ground level. The ball is
observed to reach its maximum height above
ground level 6.9 s after being hit. 1.1 s after
reaching this maximum height, the ball is
observed to barely clear a fence that is 357 ft
from where it was hit.
The acceleration of gravity is 32 ft/s2 .
How high is the fence? Answer in units of
ft.
----------------------
h(t) = -16t^2 + vt (v = initial vertical speed)
v = 32*6.9 = 220.8 ft/sec
h(t) = -16t^2 + 220.8t
t = 6.9 + 1.1 seconds
h(8) = -16*64 + 220.8*8 = -1024 + 1766.4
h = 742.4 feet
That's a tall fence, I suspect a number isn't right. 13.8 seconds is a LONG flight time for a golf ball.
-----------------
The distance to the fence is not relevant.
RELATED QUESTIONS
A baseball is hit to centre field. The ball’s height h, in metres, after t seconds can be (answered by Fombitz)
The height, h, in feet of a golf ball above the ground after being hit into the air is... (answered by Alan3354)
(d) A ball is thrown vertically upwards from ground level with a velocity of 28 m/s
(i)... (answered by ankor@dixie-net.com)
A golf ball is hit into the air, and its height h in feet after t seconds is given by... (answered by ankor@dixie-net.com)
The height of a golf ball after being hit is approximated by the equation h=18t-4t^2,... (answered by stanbon)
A ball is thrown from a point above the ground. The height at ground level is given by... (answered by ikleyn)
THe height in feet a ball is t seconds after being throan in the air is given by... (answered by nerdybill)
A ball is thrown upward from ground level. Its height, h, in feet above the ground after (answered by nerdybill)
A basketball is shot with an initial vertical velocity of 24 ft/s from 6 feet above the... (answered by ikleyn)