A steel ball is dropped from a hight of 50 m ,how far does the ball travel during the 3rd second of the fall.

my anweres was 2.0, but that's not right, im confused where i went wrong please help thanks

during the third second? Do this.

how far during the third second= how far in three seconds-how far in two seconds.

distance= 1/2g (3^2-2^2)

It does not matter from where it was dropped.

To find out how far the ball travels during the 3rd second of the fall, we need to use the kinematic equation for free fall:

d = vt + (1/2)at^2

Where:
d represents the distance traveled,
v represents the initial velocity,
t represents the time, and
a represents the acceleration due to gravity.

In this case, the ball is dropped, so its initial velocity is 0 m/s. The acceleration due to gravity is approximately 9.8 m/s^2 (assuming no other external forces are acting on the ball).

Let's break down the problem step by step:

1. Determine the time for the 3rd second: Since the ball is dropped, the time intervals form an arithmetic sequence, with a common difference of 1 second. To find the time for the 3rd second, we can use the formula for the nth term of an arithmetic sequence:

tn = a + (n - 1)d

Where:
tn represents the nth term,
a represents the first term, and
d represents the common difference.

In this case, the first term (t1) is 1 second, and the common difference (d) is also 1 second. Substituting these values into the formula, we get:

t3 = 1 + (3 - 1) * 1
t3 = 1 + 2
t3 = 3 seconds

2. Plug the values into the formula: Now, we can substitute the known values into the kinematic equation for free fall:

d = vt + (1/2)at^2

Since the initial velocity (v) is 0 m/s and the acceleration due to gravity (a) is -9.8 m/s^2 (with the negative sign indicating downward direction), the formula simplifies to:

d = (1/2)(-9.8)(3)^2

Solving this equation, we get:

d = (1/2)(-9.8)(9)
d = -4.9 * 9
d = -44.1 m

The negative sign indicates that the distance traveled is in the downward direction.

Therefore, the ball travels approximately 44.1 meters during the 3rd second of the fall.