The problem states that a baseball is thrown vertically upward with a velocity $V$ (in feet per second) after $T$ seconds, where $V = 80 - 32T$. We need to determine the significance of the negative value of $V$ when $T = 3$.

Applied MathematicsKinematicsVelocityLinear EquationsPhysics
2025/3/6

1. Problem Description

The problem states that a baseball is thrown vertically upward with a velocity VV (in feet per second) after TT seconds, where V=8032TV = 80 - 32T. We need to determine the significance of the negative value of VV when T=3T = 3.

2. Solution Steps

First, let's calculate the velocity VV when T=3T = 3:
V=8032TV = 80 - 32T
V=8032(3)V = 80 - 32(3)
V=8096V = 80 - 96
V=16V = -16
Since the velocity is negative, it means the baseball is moving in the opposite direction to its initial direction. The initial direction was upward. Therefore, a negative velocity implies the baseball is moving downward.

3. Final Answer

The baseball is moving downward instead of upward at T=3T=3 seconds.

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