Questions: max height = v t + 1/2 a t^2 (meters)

Solution Steps

The given formula for maximum height is:

\[ \text{max height} = v t + \frac{1}{2} a t^2 \]

where:

• \( v \) is the initial velocity in meters per second (m/s),
• \( t \) is the time in seconds (s),
• \( a \) is the acceleration in meters per second squared (m/s\(^2\)).

This formula is derived from the kinematic equation for motion under constant acceleration. It calculates the height reached by an object when it is projected upwards with an initial velocity \( v \) and is subject to a constant acceleration \( a \) (such as gravity).

To find the maximum height, you need to know the values of \( v \), \( t \), and \( a \). Plug these values into the formula to compute the maximum height.

Final Answer