Question

You are standing on the Schley County High School press box. You accidentally drop a candy bar during a football game. The bar falls for 3.8 seconds. Assume free fall (no air resistance). How far does the candy bar fall in 4.3 seconds?

a. Approximately 61.56 meters
b. Approximately 71.29 meters
c. Approximately 79.94 meters
d. Approximately 89.67 meters

Answer 1

The candy bar falls approximately 89.67 meters in 4.3 seconds (option d).

Step-by-step explanation:

To calculate the distance fallen in free fall, we can use the kinematic equation:

d = 1/2 * g * t²

where:

d is the distance,

g is the acceleration due to gravity (approximately 9.8 m/s²),

t is the time of fall.

Substituting the given values (g = 9.8 m/s² and t = 4.3 s):

d = 1/2 * 9.8 m/s² * (4.3 s)²

d = 1/2 * 9.8 m/s² * 18.49 s²

d = 89.667 m

Rounding to two decimal places, the candy bar falls approximately 89.67 meters. Therefore, option (d) "Approximately 89.67 meters" is the correct answer.

Understanding the principles of free fall and utilizing the kinematic equation allows us to determine the distance fallen by the candy bar. The acceleration due to gravity is a constant, and the time of fall directly influences the distance covered. In this scenario, with no air resistance, the candy bar experiences free fall, and the calculated distance provides insight into its descent during the specified time frame (option d).

Answer 2

The candy bar will fall approximately 89.67 meters in 4.3 seconds.

Step-by-step explanation:

The distance fallen by an object in free fall can be determined using the equationbre d is the distance fallen, g is the acceleration due to gravity (9.8 m/s²), and t is the time taken to fall. In this case, we know that the candy bar fell for 3.8 seconds, so we can substitute this value into the equation to find the distance fallen. Therefore, the candy bar fell approximately 68.67 meters.

To find the distance fallen in 4.3 seconds, we can use the same formula and substitute the given time. Therefore, the candy bar would fall approximately 89.67 meters. Therefore, the correct answer is d. Approximately 89.67 meters.