Question

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

Answer 1

given that time of flight is 1 second

from s=ut-1/2gt2

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

using=4

then

ucosΦ=using/tang=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)