Question

If a boy can throw a cricket ball 100 m, then the time required for the ball to touch the ground is

• A. 100 meters
• B. 200 meters
• C. 300 meters
• D. 400 meters

Answer 1

The Correct Option is A

To calculate the time it takes for a cricket ball to touch the ground when thrown horizontally, you can use the following formula:
\(d=\frac{1}{2}\cdot g\cdot t^2\)
Where:
● d is the distance the ball travels vertically (in meters).
● g is the acceleration due to gravity \((\)approximately \(\frac{9.81m}{s^2}\)\()\)
● t is the time (in seconds).
In this case, d is the vertical distance the ball falls from the height it was thrown, which we'll assume is negligible compared to the horizontal distance (100 m).
So, d=0.1m (assuming a negligible height).
Now, we can solve for t:
\(0.1=\frac{1}{2}\cdot 9.81\cdot t^2\)
First, multiply both sides by 2 to isolate \(t^2\):
0.2 = 9.81 ⋅ \(t^2\)
Next, divide both sides by 9.81:
\(t^2=\frac{0.2}{9.81}\)
Now, take the square root of both sides to find t:
\(t=\sqrt(\frac{0.2}{9.81})\approx 0.14\) Seconds
So, it takes approximately 0.14 seconds for the cricket ball to touch the ground when thrown horizontally for a distance of 100 meters.
So, the correct option is (A) 100 meters.