2 years ago

I need the simplified expression for this please

Mathematics

1 answer:

morpeh [17]2 years ago

5 0

2/3x - 2/3x4
2/3x - 8/3

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If a certain cannon is fired from a height of 8.8 meters above the ground, at a certain angle, the height of the cannonball ab

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Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

$h(t)=-4.9t^2+30.5t+8.8$

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Substitute h(t) = 0 in above function.

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For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are: $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a = -49, b = 305 and c=88

$t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}$

Ignore the negative value of t as time can't be a negative number.

Thus,

$t=\frac{305+\sqrt{110273}}{98}\approx6.50$

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

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Step-by-step explanation:

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I need the simplified expression for this please​

I need the simplified expression for this please