A ball is dropped from a height of 80 m. How long will it take to reach the grou

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Question: A ball is dropped from a height of 80 m. How long will it take to reach the ground? (Assume g = 10 m/s²)

Options:

Correct Answer: 5 s

Solution:

Using the formula: h = 0.5 * g * t^2. 80 = 0.5 * 10 * t^2. Solving gives t^2 = 16, so t = 4 s.

A ball is dropped from a height of 80 m. How long will it take to reach the ground? (Assume g = 10 m/s²)

A ball is dropped from a height of 80 m. How long will it take to reach the ground? (Assume g = 10 m/s²)

Step 1: Identify the height from which the ball is dropped. In this case, the height (h) is 80 meters.
Step 2: Identify the acceleration due to gravity (g). Here, g is given as 10 m/s².
Step 3: Use the formula for the distance fallen under gravity: h = 0.5 * g * t².
Step 4: Substitute the known values into the formula: 80 = 0.5 * 10 * t².
Step 5: Simplify the equation: 80 = 5 * t².
Step 6: Divide both sides by 5 to isolate t²: t² = 80 / 5, which gives t² = 16.
Step 7: Take the square root of both sides to find t: t = √16, which gives t = 4 seconds.

Kinematics – The question tests understanding of the equations of motion, specifically how to calculate the time of free fall using the height and acceleration due to gravity.
Free Fall – It assesses knowledge of free fall motion under the influence of gravity, where the only force acting on the object is gravity.