Question

is it necessary that a body projectile from the earth will hit it again.explain your answers​

Answer 1

Explanation:

A projectile is thrown at an angle θ from the horizontal with velocity 'u' under the gravitation field of the earth. Derive expressions for its:

a)Time of its flight

b)Height

c)Horizontal Range

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ANSWER

Let us consider a ball projected at an angle θ with respect to horizontal x-axis with the initial velocity u .

The point O is called the point of projection, θ is the angle of projection and OB = horizontal range. The total time taken by the particle from reaching O to B is called the time of flight.

Now,

(a). The total time of flight is

Resultant displacement is zero in Vertical direction.

Therefore, by using equation of motion

s=ut−

2

1

gt

2

gt=2sinθ

t=

g

2sinθ

(b). The horizontal range is

Horizontal range OA = horizontal component of velocity × total flight time

R=ucosθ×

g

2usinθ

R=

g

u

2

sin2θ

(c). The maximum height is

It is the highest point of the trajectory point A. When the ball is at point A, the vertical component of the velocity will be zero.

By using equation of motion

v

2

=u

2

−2as

0=u

2

sin

2

θ−2gH

H=

2g

u

2

sin

2

θ

Hence, this is the required solution

solution

Answer 2

Answer:

yep it is necessary

Explanation:

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory. The motion of falling objects, as covered in Problem-Solving Basics for One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal movement. In this section, we consider two-dimensional projectile motion, such as that of a football or other object for which air resistance is negligible.

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