Question

A student throws a heavy red ball horizontally from a balcony of a tall building with an initial speed ${\mathit{v}}_{\mathbf{1}}$At the same time, a second student drops a lighter blue ball from the balcony. Neglecting air resistance, which statement is true?

(a) The blue ball reaches the ground first.

(b) The balls reach the ground at the same instant.

(c) The red ball reaches the ground first.

(d) Both balls hit the ground with the same speed.

(e) None of statements (a) through (d) is true.

Short answer

Both the balls hit the ground at the same time.

As a result, b is the correct answer.

Step-by-step solution

Step 1: Define horizontal and vertical component

A force's horizontal component is the portion of the force that moves in a straight line parallel to the horizontal axis.

The vertical velocity component would loosen and elevate the sediment, while the horizontal velocity component would remove it downstream. The vertical component of ground response force was measured using an instrumented treadmill, and the sum of the left and right feet was calculated.

Explanation for option (a)

Because both the red and blue balls are released from the same balcony, their vertical displacement is the same. Assume that the balcony height is equal to h.

The vertical acceleration of each ball,$a_y$ , is equal to the acceleration due to gravity, g.

$a_y=g$

Because the red ball has an initial horizontal speed but no initial vertical speed, the initial vertical speed for both balls is zero.

$v_{0y}=0$

Therefore, correct statement is b.