What is the velocity of a quarter dropped from a tower after 10 seconds?

Question

use the formula Vf - Vl divided by f

Show your work

Answer 1

One of Newton's kinematic equations of motion is

Since v_i = 0 m/s (since the quarter was "dropped") and since the acceleration due to gravity is 9.8 m/s², we can say:

v_f = 0 + 9.8(10) = 98 m/s

Another way to think about this is that the acceleration due to gravity causes the velocity to increase by 9.8 m/s every second so:

time velocity

(s) (m/s)

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

0 0

1 9.8

2 19.6

3 29.4

4 39.2

5 49

6 58.8

7 68.6

8 78.4

9 88.2

10 98