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a projectile is thrown horizontally at 11.5 m/s. the projectile hits the ground 0.570 s later. what is the angle of impact the projectile makes with the horizontal ground?

Sagot :

The angle of impact of the projectile with the horizontal ground is 26°.

What is angle of impact in a projectile?

A projectile is formed when an object is thrown in space and the only force acting on it is gravity. Angle of Impact also known as acute angle is made by the velocity vector and the normal to the target surface.

A very well known study of angle of impact is that of blood splatter analysis.

Calculation:

Initial velocity of the projectile is

As the projectile is thrown horizontally the vertical component of the initial velocity is vxy=0

Horizontal component= vix= 11.5m/s

As gravitational acceleration is acting vertically downward let the vertical component of the velocity after time t=0.570s is,

vfy=0+gt

vfy=0+(0.981*0.570)

vfy= 5.59m/s

Horizontal component of the velocity does not change as there is no horizontal acceleration.

so the horizontal component of the final velocity is

vfx=vix=11.5m/s

if Ф be the angle with the horizontal then,

tan Ф=vfy/vfx

tanФ= 5.59/11.5

tanФ=0.486

Ф=tan∧-10.486

Ф=26°

So, the angle of impact of the projectile with the horizontal is 26°

To know more about projectile, click on https://brainly.com/question/24216590

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