A ball is thrown horizontally from a height of 20 m. How long does it take to hi

₹0.0

Question: A ball is thrown horizontally from a height of 20 m. How long does it take to hit the ground? (2019)

Options:

Correct Answer: 2 s

Exam Year: 2019

Solution:

Using the equation of motion for free fall: h = (1/2)gt². 20 m = (1/2)(9.8)t². Solving gives t ≈ 2 s.

A ball is thrown horizontally from a height of 20 m. How long does it take to hit the ground? (2019)

A ball is thrown horizontally from a height of 20 m. How long does it take to hit the ground? (2019)

Step 1: Identify the height from which the ball is thrown. In this case, the height (h) is 20 meters.
Step 2: Understand that the ball is in free fall, so we can use the equation of motion for free fall: h = (1/2)gt².
Step 3: Recognize that g (acceleration due to gravity) is approximately 9.8 m/s².
Step 4: Substitute the known values into the equation: 20 = (1/2)(9.8)t².
Step 5: Simplify the equation: 20 = 4.9t² (since (1/2) * 9.8 = 4.9).
Step 6: To isolate t², divide both sides by 4.9: t² = 20 / 4.9.
Step 7: Calculate the right side: t² ≈ 4.08.
Step 8: Take the square root of both sides to find t: t ≈ √4.08.
Step 9: Calculate the square root: t ≈ 2.02 seconds.
Step 10: Round the answer to the nearest whole number if needed: t ≈ 2 seconds.

Free Fall – The motion of an object under the influence of gravity alone, without any other forces acting on it.
Kinematic Equations – Equations that describe the motion of objects, particularly how distance, time, and acceleration are related.