Question

If a ball is dropped and takes 6.5 seconds to hit the ground below. How far did it fall? Remember in free fall g= -9.8 m/s/s. What is this question asking you to solve for? What variables are being used?

Answer 1

See the answers below.

Step-by-step explanation:

To solve this problem we must use the following equation of kinematics.

`y=y_(o)+v_(o)*t+(1)/(2)*g*t^(2) \\`

where:

y - yo = Fall distance [m]

Vo = initial velocity = 0 (dropped)

t = time = 6.5 [s]

g = gravity acceleration = 9.8 [m/s²]

Now replacing:

`y-y_(o)=0 +(1)/(2) *9.8*6.5^(2)\\y-y_(o)=207 [m]`

The question is related to the distance between the points where the ball was dropped and the ground.

The variables used are gravitational acceleration, time, fall distance, initial velocity.