Mathematics: The equation y 4.9t 2 3.5t 2.4 relates the height y in meters to the elapsed time t in seconds for a ball thrown downward at 3.5 meters per second from a height of 2.4 meters from the ground In how many seconds will the ball hit the ground Express your answer as a decimal rounded to the nearest hundredth

The equation y 4.9t 2 3.5t 2.4 relates the height

Ответ:

payshencec21

20.01.2022

$t \approx 0.43\,s$

Step-by-step explanation:

The vertical displacement function is $y(t) = -4.9\cdot t^{2}-3.5\cdot t + 2.4$ , where y(t) is measured in meters and in seconds. Ball hits the ground when y(t) = 0 . That is:

$-4.9\cdot t^{2}-3.5\cdot t + 2.4 = 0$

Whose roots can be found by using the General Formula for Second-Order Polynomials:

$t_{1,2} = \frac{3.5\pm \sqrt{(-3.5)^{2}-4\cdot (-4.9)\cdot (2.4)} }{2\cdot (-4.9)}$

Solutions of this polynomial are:

$t_{1} \approx 0.43\,s,t_{2} \approx -1.14\,s$

Only the first root is physically consistent.

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Ответ:

liddopiink1

19.11.2021

Mathematics

15.

If Tyler is using a cup of apple juice when he adds cranberry juice, he will have have added fifteen cups of apple juice.

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