a particle is projected from a point p(2,0,0)m with a velocity 10m/sec at an angle 45 degrees eith the horizontal - Physics - Kinematics

Question

a particle is projected from a point p(2,0,0)m with a velocity
10m/sec at an angle 45 degrees eith the horizontal the plane of
projectile motion passes through a horizontal line pq which makes
an angle 37 degrees with positive x-axis ,xy plane is horizontal
the coordinates of the point where the particle will strike the
line pq is

Ujjval Chauhan · Accepted Answer

Dear student,

Range (on inclined plane) of particle projected(at an angle α
with horizontal) on a inclined plane(making an angle β with
horizontal) is given by,
R=2u2cosαsinα-βgcos2α⇒R=2×102cos45°sin45-37°10×cos245°⇒R=20sin45°cos37°-cos45°sin37°cos45°⇒R=20cos37-sin37=2045-35=4 m
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_578942325d992%20jpg">
Let coordinate of required point are (x,y),
Rcos37=x-2⇒4×45=x-2⇒x=265 m,Rsin37=y⇒4×35=x⇒x=125 mx,y=125,265 m

Regards