Question

The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula t=2dg−−√, where g is the constant acceleration due to gravity, 9.8msec2. How many meters does an object fall in 5 seconds? Round your answer to the nearest whole number.

Answer 1

Answer:

d = 61.25 m

Step-by-step explanation:

The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula :

$t=2\sqrt{\dfrac{d}{g}}$ .....(1)

It is required to find the distance covered by ab object in 5 seconds

Solving equation (1) for d. So,

$d=\dfrac{t^2g}{4}$

Putting all the values we get :

$d=\dfrac{(5)^2\times 9.8}{4}\\\\d=61.25\ m$

So, the distance covered by the object is 61.25 m.