Physics

posted by Priscilla

In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 4.3 m/s at an angle of 15 degrees below the horizontal. It is released 0.80m above the floor.

What horizontal distance does the ball cover before bouncing?

(delta)y = (Voy)(t) - (1/2)gt^2
(delta)y = (Vo)sin(teta)t - (1/2)gt^2

-0.80 = -4.9t^2 - 4.3sin15(t)
4.9t^2 + 4.3sin15(t) - 0.80 = 0

ax^2 + bx + c = 0

x = - (4.3sin15) +/- (sq root) (4.3sin15)^2 - 4 (4.9)(-.80)

divided by 2 (4.9)

x1 = .27
x2 = - .50

I know X2 cancels out because it's a negative number.


Then, I used

(delta)x = Vox x t
(delta)x = 4.3 m/s x .27 s
(delta)x = 1.161 m

But the answer is 1.3 m, I think I did something wrong in the quadratic equation. I'm really confused, thank you for any help

  1. drwls

    4.9 t^2 +1.113 t - 0.80 = 0
    t = [-1.113 +sqrt(1.2386 +15.68]/9.8
    = 3.002/9.8 = 0.3061 s
    X = Vo *cos15*0.3061 = 1.27 m

    You must have done the quadratic wrong, for t. You also forgot a cos15 factor for the horizontal motion.

  2. Priscilla

    ok thank you

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Physics

    When baseball outfielders throw the ball, they usually allow it to take one bounce on the theory that the ball arrives sooner this way. Suppose that after the bounce the ball rebounds at the same angle theta as it had when released, …
  2. Physics

    In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 3.9 m/s at an angle of 25 degrees above the horizontal. It is released 0.75 m above the floor. What horizontal distance …
  3. physics

    In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 3.9 m/s at an angle of 13.8° below the horizontal. It is released 0.65 m above the floor. What horizontal distance does …
  4. physics

    In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 3.9 m/s at an angle of 13.8° below the horizontal. It is released 0.65 m above the floor. What horizontal distance does …
  5. physics

    In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 3.7 m/s at an angle of 15.4° below the horizontal. It is released 0.83 m above the floor. What horizontal distance does …
  6. physics

    When baseball players throw the ball in from the outfield, they sometimes allow it to take one bounce before it reaches the infield on the theory that the ball arrives sooner that way. Suppose the angle at which a bounced ball leaves …
  7. physics

    In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 3.1 m/s at an angle of 15.0° below the horizontal. It is released 0.82 m above the floor. What horizontal distance does …
  8. AP Physics

    A baseball player throwing the ball from the outfield usually allows it to take one bounce on the theory that the ball arrives sooner this way. Suppose that ball hits the ground at an angle θ and then bonuses but loses half of …
  9. Physics

    A quarterback throws a pass at an angle of 40 degrees above the horizontal with an initial speed of 20 m/s. The ball is caught by the receiver 2.55 seconds later. Determine horizontal velocity, vertical initial velocity, the distance …
  10. Physics

    A quarterback throws a pass at an angle of 40 degrees above the horizontal with an initial speed of 20 m/s. The ball is caught by the receiver 2.55 seconds later. Determine horizontal velocity, vertical initial velocity, the distance …

More Similar Questions