Two particles A and B projected along different directions from the same point P on the ground with the same velocity of 70 m/s in the same vertical plane. They hit the ground at the same point Q such that PQ = 480 m, then (take, g = 9.8 m/s2)
see full answer
High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET
🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya
a
ratio of their times of flight is 4 : 5
b
ratio of their maximum heights is 9 : 16
c
ratio of their minimum speeds during flights is 4 : 3
d
the bisector of the angle between their directions of projection makes 45o with horizontal
answer is B.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
R=u2sin2θg=480m702sin2θ9.8=480⇒ sin2θ=480×9.870×70=2425⇒ cos2θ=725⇒2cos2θ−1=725⇒ cos2θ=1625⇒ cosθ=45⇒ θ=37∘So, angles of projection will be 37° and 53°. T1T2=2usin37∘g2usin53∘g=34H1H2=916umin1umin2=ucos37∘ucos53∘=43∵velocity at highest point =ucosθβ=θ+φ2=37+532=45
Not sure what to do in the future? Don’t worry! We have a FREE career guidance session just for you!
Two particles A and B projected along different directions from the same point P on the ground with the same velocity of 70 m/s in the same vertical plane. They hit the ground at the same point Q such that PQ = 480 m, then (take, g = 9.8 m/s2)