Babe Didrikson holds the world record for the longest baseball throw (296 ft) by a woman. For the following questions, assume that the ball was thrown at an angle of 45.0oabove the horizontal, that it traveled a horizontal distance of 296 ft, and that it was caught at the same level from which it was thrown. (a) What was the ball’s initial speed

Respuesta :

Answer:

[tex]u=29.75\ m/s[/tex]

Explanation:

given,

ball is thrown at an angle = 45°

horizontal distance traveled by the ball = 296 ft (Range)

            1 ft = 0.3048 m

            296 ft = 296 x 0.3048 m

                       = 90.22 m

initial velocity of the ball = ?

using the formula of Range

    [tex]R = \dfrac{u^2sin\ 2\theta}{g}[/tex]

    [tex] 90.22 =\dfrac {u^2 sin\ 2(45^0)}{9.81}[/tex]

    [tex]u^2(1) = 90.22 \times 9.81[/tex]

    [tex]u^2 = 885.058[/tex]

    [tex]u=\sqrt{885.058}[/tex]

    [tex]u=29.75\ m/s[/tex]

hence, the initial velocity of the ball is [tex]u=29.75\ m/s[/tex]