You can find the distance d an object falls in feet for time t in seconds using the formula d= 16t^2. Suppose a ball is dropped out of a window of a tall building. How far will the ball in 3 seconds?

a 144 ft
b 96 ft
c 48 ft
d 16 ft

plz explain how to do this? thanks !!!

d= 16*9=? The 9 is time squared.

D

144

To find the distance the ball falls in 3 seconds using the formula d=16t^2, plug in the value of time (t) as 3 seconds.

Therefore, substitute t = 3 into the formula:

d = 16 * (3)^2

Next, calculate the exponent: (3)^2 = 9.

d = 16 * 9

Finally, multiply 16 by 9:

d = 144

Answer: The ball will fall 144 ft in 3 seconds.

Explanation: According to the given formula, the distance (d) a ball falls in feet can be found by multiplying 16 (a constant value due to gravity) by the square of the time (t) in seconds. By substituting t = 3 into the formula and solving the equation, we can determine that the ball will fall 144 ft in 3 seconds.