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show that there are two values of time for which the projectile is at the same height. also , shiow mathematicallythat the sum of these two times is equal to the time of flight.

show that there are two values of time for which the projectile is at the same height. also , shiow mathematicallythat the sum of these two times is equal to the time of flight.
 

Grade:11

2 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Hello Student,
initially v=vcos\theta i+vsin\theta j
so to be at height h
we set up this eq
h=vsin\thetat-1/2at^2
whose sum of roots is -b/c=2vsin\theta/g
which is the time of flight
so if when going up height h time is t
then on coming down t’=Time of flight -t
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
Sumit Majumdar IIT Delhi
askIITians Faculty 137 Points
9 years ago
68-965_Sol.JPG
Regards
Sumit

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