A projectile falls beneath the straight-line path it would follow if there were no gravity. How many meters does it fall below this line if it has been traveling for 1 s?

Respuesta :

Answer:

Explanation:

Suppose v is the initial velocity and [tex]\theta[/tex] is the angle of inclination

distance traveled in vertical direction in t=1 s

When gravity is present

[tex]y=vt+\frac{1}{2}at^2[/tex]

where [tex]y=vertical\ distance[/tex]

[tex]a=acceleration[/tex]

[tex]t=time[/tex]

[tex]v=initial\ velocity[/tex]

here initial velocity is v\sin \theta [/tex] so

[tex]y=v\sin \theta \times 1-\frac{1}{2}gt^2[/tex]

[tex]y=v\sin \theta -0.5g[/tex]

In absence of gravity

[tex]y_2=v\sin \theta \times t[/tex]

[tex]y_2=v\sin \theta \times 1[/tex]

[tex]\Delta y=y_2-y=v\sin \theta -v\sin \theta +0.5 g=4.9\ m[/tex]

         

The projectile will fall below the line by 5 meters if it has been traveling for 1 second.

What is the computation for the projectile above?

Recall that t=1s,

Thus,   1/2g (t ^2)

= 0.5 (9.8) (1 ^ 2)

= 4.9m

Which is approximately 5 m.

A projectile is any object that once released from a point above the ground or resting place continues in motion by its own inertia and is acted upon only by the downward force of gravity.

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