SOLUTION: Suppose Charlie O'Brian of the Braves hits a baseball straight upward at 150ft/sec from a height of 5 ft.
If an object is given an initial velocity of v feet/second from a hei
Algebra.Com
Question 176381: Suppose Charlie O'Brian of the Braves hits a baseball straight upward at 150ft/sec from a height of 5 ft.
If an object is given an initial velocity of v feet/second from a height of s feet, then its height S after t seconds is given by the formula
S= -16t^2 + vt + s.
a. Use the formula to determine how long it takes the ball to return to earth.
b. Estimate the maximum height reached by the ball.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose Charlie O'Brian of the Braves hits a baseball straight upward at 150ft/sec from a height of 5 ft.
If an object is given an initial velocity of v feet/second from a height of s feet, then its height S after t seconds is given by the formula
S(t) = -16t^2 + vt + s.
a. Use the formula to determine how long it takes the ball to return to earth.
At earth its height will be zero.
-16t^2 + 150t + 5 = 0
t = [-150 +- sqrt(150^2 - 4*-16*5)]/-32
t = [-150 +- sqrt(22820)]/-32
Positive solution:
t = [-150 - 151.063]/-32
t = 9.408 seconds
-----------------------------
b. Estimate the maximum height reached by the ball.
Max occurs when t = -b/2a = -150/[-32] = 4.6875 seconds
S(4.6875) = -16(4.6875)^2 + 150(4.6875) + 5 = 356.56 ft.
==============================================================
Cheers,
Stan H.
RELATED QUESTIONS
Suppose Charlie O達rian hits a baseball straight upward at 150ft/sec from a height of 5... (answered by stanbon)
Suppose Charlie O達rian of the Braves hits a
Baseball straight upward at 150 ft/sec from (answered by stanbon)
Suppose Charlie O達rian of the Braves hits a baseball straight upward at 150 ft/sec from... (answered by stanbon)
Foul ball. Suppose Charlie O達rian of the Braves hits a baseball straight upward at 150... (answered by ankor@dixie-net.com)
Suppose Charlie O'Brian of the Braves hits a baseball straight upward at 150ft/sec from a (answered by ankor@dixie-net.com)
Foul ball. Suppose Charlie O達rian of the Braves hits a baseball straight upward at 150 (answered by Alan3354)
Suppose Charlie O達rian of the Braves hits a
baseball straight upward at 150 ft/sec from (answered by richwmiller)
90) Foul ball. Suppose Charlie O達rian of the Braves hits a baseball straight upward at (answered by ankor@dixie-net.com)
Suppose Charlie O達rian of the Braves hits a
baseball straight upward at 150 ft/sec from (answered by Alan3354)