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thechocolatblanc
21.01.2020 •
Mathematics
Abullet is fired straight up from a bb gun with initial velocity 1,120 feet per second at an initial height of 8 feet. use the formula h=−16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. that is, when will h=0
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Ответ:
Bullet will hit the ground after 70 seconds.
Step-by-step explanation:
A bullet is fired straight up from a BB gun with initial velocity 1120 ft/s at an initial height of 8 ft. Using the value of velocity the equation becomes:
h(t)= -16t² + 1120t + 8
We need to find time when bullet hit the ground.
As we know when bullet hit the ground height would be 0
So, we set h=0 and solve for t .
0 = -16t² + 1120t + 8
Using quadratic formula:
Since negative value of the time is not possible, we conclude that the bullet will hit the ground after 70 seconds.
Ответ:
CE = 3
Step-by-step explanation:
Given:
AE = 3
EB = 4
CE = x
ED = x + 1
Required:
CE
Solution:
First we need to determine the value of x by generating am equation as follows:
CE × ED = AE × EB (Interacting Chords Theorem)
Substitute
x × (x + 1) = 3 × 4
x² + x = 12
Subtract 12 from each side
x² + x - 12 = 12 - 12
x² + x - 12 = 0
Factorize to find the value of x
x² + 4x - 3x - 12 = 0
x(x + 4) -3(x + 4) = 0
(x - 3)(x + 4) = 0
x - 3 = 0
x = 3
Or
x + 4 = 0
x = -4
Let's use the positive value of x
CE = x = 3