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Grade 11Mechanics

A particle is projected from a point(0,1) on Y-axis aiming towards a point(4,9). It fellson ground along X-axis in 1 second. Taking g=10m/second square , and all coordinate in metres, find the X- coordinatewhere it fell

Profile image of Akash Sood
14 Years agoGrade 11
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2 Answers

Profile image of Umesh Jakhar
ApprovedApproved Tutor Answer14 Years ago

tanΦ=9-1/4-0=2=perpendicular/base.      ...........(1)

where Φ is angle of projection


given that time of flight is 1 second

from s=ut-1/2gt2

(-1)=usinΦ(1)-1/2(10)(1)   final displacement is -1 when it hit the ground ok!!

usinΦ=4

then

ucosΦ=usinΦ/tanΦ=4/2=2    (from equestion (1) tanΦ=2 )

then x coordinate = VxT=(2)X(1)=2   (Vx = horizontal componant of velocity)

particle hit the ground at (2,0) OK!!!!!!!!!

GOOD LUCK

you will crack JEE

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Profile image of Vibekjyoti Sahoo
4 Years ago

tanΦ=9-1/4-0=2=perpendicular/base.      ...........(1)

where Φ is angle of projection

 

given that time of flight is 1 second

from s=ut-1/2gt2

(-1)=usinΦ(1)-1/2(10)(1)2     final displacement is -1 when it hit the ground ok!!

usinΦ=4

then

ucosΦ=usinΦ/tanΦ=4/2=2    (from equestion (1) tanΦ=2 )

then x coordinate = VxT=(2)X(1)=2   (Vx = horizontal componant of velocity)

particle hit the ground at (2,0)