二次方程 函数The following function gives the height,h metres,of a
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二次方程 函数
The following function gives the height,h metres,of a batted baseball as a function of the time,t seconds,since the ball was hit:
h= -6(t-2.5)^2+ 38.5
a) How many seconds after it was hit did the ball hit the ground ,to the nearest second?
请列出主要的演算步骤和式子.
The following function gives the height,h metres,of a batted baseball as a function of the time,t seconds,since the ball was hit:
h= -6(t-2.5)^2+ 38.5
a) How many seconds after it was hit did the ball hit the ground ,to the nearest second?
请列出主要的演算步骤和式子.
题目意思是当t=?时,t为整数,表达式-6(t-2.5)^2+ 38.5与0最接近.
令
-6(t-2.5)^2+ 38.5=0求出两根,分别为5.0331和-0.0331,在两根旁取三点,即0,5,6,分别代入原表达式中
当t=0,表达式为 1;
当t=5,表达式为 1;
当t=6,表达式为 -35;
又因为t>0且表达式为正数,
故当t=5时,离地面最近!
令
-6(t-2.5)^2+ 38.5=0求出两根,分别为5.0331和-0.0331,在两根旁取三点,即0,5,6,分别代入原表达式中
当t=0,表达式为 1;
当t=5,表达式为 1;
当t=6,表达式为 -35;
又因为t>0且表达式为正数,
故当t=5时,离地面最近!
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