eugenenebriI000
Answered

Maligayang pagdating sa Imhr.ca, ang pinakamahusay na platform ng tanong at sagot para sa mabilis at tumpak na mga sagot. Tuklasin ang malalim na mga sagot sa iyong mga tanong mula sa isang malawak na network ng mga propesyonal sa aming madaling gamitin na Q&A platform. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa dedikadong komunidad ng mga eksperto sa aming Q&A platform.

The distance travelled by a falling object varies directly as the square of the time it spends in falling. If a body falls 64ft in 2 seconds, find the distance that it will fall in 10 seconds.​

Sagot :

martusjenylyn

Answer:

The distance travelled by a falling object is proportional to the square of the time it spends falling, according to the equation d = 1/2 * g * t^2, where d is the distance, g is the acceleration due to gravity (9.8 m/s^2), and t is the time.

Given:

  • The object falls 64 ft in 2 seconds.
  • We need to find the distance it will fall in 10 seconds.

Using the equation d = 1/2 * g * t^2:

  • At 2 seconds, the distance fallen is 64 ft.
  • Plugging in the values, we get: 64 = 1/2 * 9.8 * 2^2
  • Solving for g, we get g = 9.8 m/s^2

Now, to find the distance fallen in 10 seconds:

  • d = 1/2 * 9.8 * 10^2 = 490 ft

Therefore, the distance the object will fall in 10 seconds is 490 ft.

NoahBadilla

DISTANCE

[tex]\normalsize{\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad}}}[/tex]

[tex]\rm{\underline{PROBLEM:}}[/tex]

The distance travelled by a falling object varies directly as the square of the time it spends in falling. If a body falls 64ft in 2 seconds, find the distance that it will fall in 10 seconds.​

[tex]\\[/tex]

[tex]\rm{\underline{SOLUTION:}}[/tex]

The formula for the distance traveled by a falling object while varying directly with the square of the time the object falls is:

[tex]\large{\boxed{d = kt^{2} }}[/tex]

  • d - is the distance
  • t - is the time
  • k - is the constant of variation

[tex]\\[/tex]

Substitute the values into the formula to solve for the value of k :

  • [tex]{d = kt^{2} }[/tex]
  • [tex]{64 = k(2)^{2} }[/tex]
  • [tex]{64 = k \times 4}[/tex]
  • [tex]k = \frac{64}{4}[/tex]
  • [tex]k = 16[/tex]

[tex]\\[/tex]

Now that we have the value of the constant k, find the distance traveled of the falling object in 10 seconds. Substitute k = 16 and t = 10.

  • [tex]{d = kt^{2} }[/tex]
  • [tex]{d = 16(10)^{2} }[/tex]
  • [tex]{d = 16 \times 100}[/tex]
  • [tex]d = \underline{\green{1,600}}[/tex]

Hence, the distance traveled of the falling object is 1,600 feet.

[tex]\normalsize{\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad}}}[/tex]

[tex]\large{\boxed{\tt{\blue{06/24/2024}}}}[/tex]

Pinahahalagahan namin ang iyong oras sa aming site. Huwag mag-atubiling bumalik kailanman mayroon kang mga karagdagang tanong o kailangan ng karagdagang paglilinaw. Pinahahalagahan namin ang iyong oras. Mangyaring bumalik anumang oras para sa pinakabagong impormasyon at mga sagot sa iyong mga tanong. Maraming salamat sa pagtiwala sa Imhr.ca. Bisitahin kami ulit para sa mga bagong sagot mula sa mga eksperto.