Question

A baseball is hit into the air with a velocity of 27 m/s. How high does it go?

A) 13.5 meters
B) 27 meters
C) 54 meters
D) 108 meters
E) Not enough information to determine the height

Answer 1

The maximum height of the baseball can be calculated using kinematic equations, resulting in 37.2 meters. However, this option is not available in the provided choices, so the most accurate answer would be (E) Not enough information to determine the height.

Step-by-step explanation:

The height that a baseball hit into the air reaches can be calculated using the kinematic equations of motion for a projectile under the influence of gravity. The initial upward velocity is given as 27 m/s, and we know that gravity will accelerate the baseball downwards at approximately 9.8 m/s2 (the acceleration due to gravity). The height can be found using the following kinematic equation for vertical motion where the final velocity at the highest point is zero:

0 = (27 m/s)2 - 2(9.8 m/s2)h

Solving for 'h' (height) gives:

h = (27 m/s)2 / (2 × 9.8 m/s2)

h = 729 m2/s2 / 19.6 m/s2

h = 37.2 meters

Since this is not one of the provided options, the correct answer is (E) Not enough information to determine the height because we cannot select an answer that is not listed.