A player throws a bean bag from the height of 3 feet with an initial velocity of 34 feet per second at an angle of 30º.

The parametric equation that represents this situation is __

A. x = (34cos(30°)t and y = –16t2 + (34sin(30°))t

B. x = (34cos(30°)t and y = –16t2 + (34sin(30°))t + 3

C. x = (34cos(30°)t + 3 and y = –16t2 + (34sin(30°))t + 3

The bean bag’s path is part of a curve that is a __

To the nearest second, the bean bag was in the air for __
second(s).

Respuesta :

Answer:

B, parabola, 1

Step-by-step explanation:

right on edge

The bean bag’s path is part of a curve that is a parabola and to the nearest second, the bean bag was in the air for 1 second(s).

What is projectile motion?

Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.

The parametric equation for x and y can be given as,

[tex]x =x_o+ v_o\cos(\theta)t \\y =y_o -\dfrac{1}{2}at^2 + (v_o\sin(\theta))t[/tex]

Here, (vo) is the initial speed, (h) is the height and θ is the angle of throw.

The player throws a bean bag from the height of 3 feet with an initial velocity of 34 feet per second at an angle of 30º.

Let suppose the time is t second. Thus, the parametric equation that represents this situation are,

[tex]x = (34\cos(30^o)t \\y = -16t^2 + (34\sin(30^o))t + 3[/tex]

The bean bag’s path is part of a curve. This path is in the form of parabola.

To the nearest second, the bean bag was in the air for 1 second(s).

Thus, the bean bag’s path is part of a curve that is a parabola and to the nearest second, the bean bag was in the air for 1 second(s).

Learn more about the projectile motion here;

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