two particals projected with same speed in different directions and with same vertical plane . both partical have same range, the time taken are 10sec and 25sec find their horizontal range
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1
Answer:
We know that the range R=u
2
Sin2θ/g is same for angles θ and 90−θ provided projection speed is same.
Suppose projection speed is u then
time of flight from T=2uSinθ/g is obtained as T
1
=2uSinθ/g and T
2
=2uSin(90−θ)/g=2uCosθ/g
On dividing we get T
1
/T
2
=10/25=0.4=tanθ so θ=tan
−1
0.4=21.8
0
putting this value in expression for T
1
we get u=134.77m/s
So range will be R=u
2
Sin2θ/g=134.77
2
×0.6896/10=1252meter
Explanation:
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