AP EAMCET Engineering 2018 Apr 22 Shift 2 Paper

Write the expression of the trajectory of projectile.
y=x‌tan‌θ−

gx2

2u2cos2θ

=x‌tan(45°)−

gx2

2u2cos2(45°)

=x−

gx2

u2

... (1)
Substitute x = 4 and y = 3 in Equation (1).
3=4−

g(4)2

u2

g(4)2

u2

=1
u2=16g
From Equation (1),
y=x−

gx2

16g

=x−

x2

16

..... (2)
For the maximum value of x , the value of y = 0 substitute in (2).
0=x−

x2

16

x(1−

x

16

)=0
x=0‌and‌x=16