Question

A drop test is performed on a particle free-falling through air. The theoretical y-coordinate of a particle dropped from an initial height is

? = ?? − 0.5??2

where, y = height above the ground

yi = initial height above the ground

g = gravity (386.4 in/s2)

t = time after particle release.

Your task is to create a program that prompt user to input initial height above the ground (yi). Then call a function (that you create) to calculate the time when the particle reaches the ground.

Display your result.

Exemplary input/output format:

Enter initial height above the ground (in inch):

Time to reach ground (in second):

Answer 1

Python 3.6 Code:

***refer to the attached snapshot for indentation***

================================================================
#function for calculating time
#takes height as input
def time(h):
#g is 386.4 inch/s^2
#h is also in inches
g=386.4
#y=yi-0.5gt2
#when the particle reaches ground then y=0
#=>yi=0.5gt2=>t=((2*yi)/g)^(0.5)
t=((2*h)/g)**0.5
return t

#input for height in inches
yi = int(input("Enter initial height above the ground(in inch): "))
#display the result
print("Time to reach ground(in seconds):",round(time(yi),4))
===========================================================================

Sanpshot

Sample OUTPUT