Question

Above the ground, an arrow A is shot horizontally from a bow at a speed of 50 m/s. A second arrow, B, is dropped from the same height and at the same instant as A is shot. Which of the following statements is true?

a) Arrow B has a larger acceleration rate.
b) Arrow A has an increasing rate of acceleration.
c) Arrow A and B have the same vertical acceleration.
d) Arrow A has a larger time flight than B.

Answer 1

In the scenario described, Arrow A and B have the same vertical acceleration due to gravity, without any differences stemming from their horizontal movement or lack thereof.

Step-by-step explanation:

The problem in question is related to the concepts of projectile motion and acceleration in physics. When it comes to the question at hand, the correct statement is: c) Arrow A and B have the same vertical acceleration. This is because, in the absence of air resistance, all objects in free fall near the Earth's surface experience the same acceleration due to gravity, which is approximately 9.81 m/s2 downward, regardless of their horizontal motion.

Arrow A has an initial horizontal speed but no vertical speed, so it undergoes projectile motion where its horizontal velocity remains constant (if we ignore air resistance). Meanwhile, Arrow B is in freefall with no initial horizontal or vertical velocity. The only force acting on both arrows in the vertical direction is gravity, thereby giving them the same acceleration rate.