Zohnmichaelidn
Answered

Makakuha ng eksaktong mga sagot sa iyong mga tanong sa IDNStudy.com. Makakuha ng mga kumpletong sagot sa lahat ng iyong mga tanong mula sa aming network ng mga eksperto.

A ball is dropped from the top of a building.Each time it hits the ground,it bouncestpa height which is 3/4 of the height from which it last fellIf it bounces6.75 m on the third bounce,from the height was it dropped?

Sagot :

Height of the building = x
height of third bounce = 6.75 m
Number of bounce = 3

Equation (Geometric sequence formula):
(3/4)³ (x) = 6.75

(27/64) (x)  = 6.75

(64/27) [ (27/64)(x) = 6.75 ] (64/27)

x = (6.75) (64/27)

x = 432/27

x = 16

ANSWER:  The height (of the building) from which the ball was dropped
                     is 16 m.

-----------------------

Check:
To find the height of second  bounce:
6.75 = height of the 3rd bounce.
x₂ = height of the second bounce

Since 6.75 is 3/4 of the height of the previous bounce x₂, then:
3/4 (x₂) = 6.75
(4/3) [3/4 (x₂) = 6.75 ] (4/3)
x₂ = 6.75 (4/3)
x₂ = 9 m,  height of the second bounce

To find the height of first bounce:
9 m = height of the second bounce
x₁ = height of the first bounce

Since 9 m is 3/4 of the first bounce x₁, then:
3/4 (x₁) = 9
(4/3) [ 3/4 (x₁) = 9] (4/3)
x₁ = 12 , height of the first bounce

To find the height from where  the ball was dropped:
12 m = height of the first bounce
x = height of the building

Since 12 m is 3/4 of the height from where the ball was dropped, then:
3/4 (x) = 12
(4/3) [ 3/4(x) = 12)] (4/3)
x = 12 (4/3)
x = 16 m, the height from where the object was dropped.










Salamat sa iyong pagsali sa aming komunidad. Magpatuloy sa pagtatanong at pagsagot sa mga katanungan. Sama-sama tayong magtatayo ng isang lugar na puno ng kaalaman at pagtutulungan. May mga katanungan ka? Ang IDNStudy.com ang may sagot. Bisitahin kami palagi para sa pinakabagong impormasyon.