firework py code

Question

There are 3 fireworks. their weight and initial expulsion rate:

1) m = 250 grams and V = 6 meters / second

2) m = 400 grams and V = 8 meters / second

3) m = 650 grams and V = 8 meters / second

The desired outputs from us:

1) time to peak

2) Calculation of the max height at which the fireworks can go

3) The longest road it can take horizontally (let's not forget that it explodes when it reaches the peak)

Answer 1

Not a physics buff....

Not sure what the weight has to do with it..

Height function is H(t) = -16t^2 + Bt + C

B is the initial velocity, C is the initial height which is zero in this case

tMax is the time to reach max height

tMax = -B/(2A) = N/32

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# H(t) = -16t^2 + Bt where B is the initial velocity

B = input("Please input the initial velocity :>")

# max occurs at -B/(2a)

maxT = -float(B)/-32

maxHeight = -16*float(maxT)*float(maxT) + float(B)*float(maxT)

print(" max time = " + str(maxT))

print(" max height = " + str(maxHeight))