Question

range of body is m.= ? in above options a) 125√3, b) 250√3, c) 125, d) 250​

Answer 1

Explanation:

To describe projectile motion completely, we must include velocity and acceleration, as well as displacement. We must find their components along the x- and y-axes. Let’s assume all forces except gravity (such as air resistance and friction, for example) are negligible. Defining the positive direction to be upward, the components of acceleration are then very simple:

a y = − g = − 9.8 m / s 2 ( − 32 ft / s 2 ) .

Because gravity is vertical,  

a x = 0..  If  a x = 0 ,

this means the initial velocity in the x direction is equal to the final velocity in the x direction, or  

v x = v0 x .

With these conditions on acceleration and velocity, we can write the kinematic (Equation) through (Equation) for motion in a uniform gravitational field, including the rest of the kinematic equations for a constant acceleration from Motion with Constant Acceleration. The kinematic equations for motion in a uniform gravitational field become kinematic equations with  

a y = − g ,

a x = 0 :

Horizontal Motion

v 0 x = v x ,x = x 0 + v x t

Vertical Moion

√= y 0 + 1 2 (v 0 y + v y ) t v y = v 0 y − g t y = y 0 + √0 y t − 1 2 g t √2 √2 y = √2 0 y − 2 g ( y-y 0 )