Question

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

Answer 1

Answer:

$u=29.75\ m/s$

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

    $R = \dfrac{u^2sin\ 2\theta}{g}$

    $90.22 =\dfrac {u^2 sin\ 2(45^0)}{9.81}$

    $u^2(1) = 90.22 \times 9.81$

    $u^2 = 885.058$

    $u=\sqrt{885.058}$

    $u=29.75\ m/s$

hence, the initial velocity of the ball is $u=29.75\ m/s$