Answer:
<em>The ball falls 0.3 m in the first 1/4 seconds, and it falls 0.92 m in the second 1/4 second</em>
Explanation:
<u>Horizontal Launch
</u>
When an object is thrown horizontally with a speed v from a height h, it describes a curved path ruled exclusively by gravity until it eventually hits the ground.
To calculate the vertical distance (y) traveled by the object in terms of the time (t) we use:

The fastball is thrown horizontally. The distance the ball falls in t=1/4 seconds = 0.25 seconds, is:


The distance the ball falls in t=1/2 seconds = 0.5 seconds is:


The distance it falls in the second 1/4 second is:


The ball falls 0.3 m in the first 1/4 seconds, and it falls 0.92 m in the second 1/4 second
“Weight of the wrench” on “the moon” is “6.07 kg”.
<u>Explanation</u>:
Weight of the wrench is 5.24 N
Weight of the wrench in kilograms = W × g
Taken “g” on the moon is 

Weight of the wrench in kilograms is 51.352 kg.
Formula to calculate weight of the object on the moon is

Substitute the values given,


= 6.07 kg
Therefore, weight of the wrench on the moon is 6.07 kg.
Explanation:
Given that,
Radius of the coil, r = 4.2 cm
Number of turns in the coil, N = 500
The magnetic field as a function of time is given by :

Resistance of the coil, R = 640 ohms
We need to find the magnitude of induced emf in the coil as a function of time. It is given by :

Hence, this is the required solution.
Im not sure, but here are a few of mine : Learn to be silent, and listen, take massive action and be proactive, listen, focus, and lastly, persist. Hope this helped! (: