Question

1. an 80-kg lighting rig is raised by an electric motor in a theater. the motor accelerates the rig upwards at $0.5\\ \text{m/s}^2$. the rig is lifted 12 meters at an average velocity of 3 m/s. calculate how many seconds it takes for the rig to reach its final height.

Explanation:

Step1: Recall average velocity formula

Average velocity $v_{avg} = \frac{\text{total displacement } d}{\text{time } t}$

Step2: Rearrange for time

$t = \frac{d}{v_{avg}}$

Step3: Substitute given values

$t = \frac{12}{3}$

Answer:

4 seconds