If a ball is thrown into the air at 56feet per second from the top of a 100-foot-tall building, its height can be modeled by the function S=100+56t−14t^2, where S is in feet and t is in seconds. (a) Graph this function on a viewing window [0,8] by [0,200]. (b) Find the height of the ball 1 second after it is thrown and 3 seconds after it is thrown. Are the two values equal? Why or why not? (c) Find the maximum height the ball will reach.
If a ball is thrown into the air at 56feet per second from the top of a 100-foot-tall building, its height can be modeled by the function S=100+56t−14t^2, where S is in feet and t is in seconds. (a) Graph this function on a viewing window [0,8] by [0,200]. (b) Find the height of the ball 1 second after it is thrown and 3 seconds after it is thrown. Are the two values equal? Why or why not? (c) Find the maximum height the ball will reach.
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 4RE: Determine whether Table 1 could represent a function that is linear, exponential, or neither. If it...
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If a ball is thrown into the air at 56feet per second from the top of a
100-foot-tall building, its height can be modeled by the function
S=100+56t−14t^2, where S is in feet and t is in seconds.
(a) Graph this function on a viewing window [0,8] by
[0,200].
(b) Find the height of the ball 1 second after it is thrown and
3 seconds after it is thrown. Are the two values equal? Why or why not?
(c) Find the maximum height the ball will reach.
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