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angel13sigala
21.02.2020 •
Mathematics
A ball is kicked in the air. The height of the ball can be calculated using the equation h(t) =-16t^2+64t+190, where h is in height in feet and t is time in seconds. Find the time it takes for the ball to strike the ground
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Ответ:
Therefore the ball strikes the ground 5.98 s after kick.
Step-by-step explanation:
Given that , a ball is kicked in the air. The height of the ball can be calculated using the equation
where h is height in feet and t is time in second.
When the ball touches the ground then the height will be zero.
i.e h(t)=0
Therefore
Since -2≠0 then![(8t^2-32t-95)=0](/tpl/images/0519/6859/31593.png)
[The solution of a quadratic equation ax²+bx+c=0 is
Therefore t= 5.98 or -1.98
since time can not be negative So , t=5.98 s
Therefore the ball strikes the ground 5.98 s after kick.
Ответ: