4 **Problem: Calculating Drone Height and Package Drop Time**The height above the ground of a drone is given by the equation \( h = 3.50 \, t^3 \), where \( h \) is in meters and \( t \) is in seconds. **Tasks:**1. Calculate at \( t = 2.50 \, \text{s} \): - (a) The height of the drone above the ground. - (b) The velocity of the drone.2. At this time (\( t = 2.50 \, \text{s} \)), the drone releases a package: - (c) Determine how long it takes for the package to reach the ground.**Instructions:**- Include a detailed diagram illustrating the situation.**Solutions:**- **(a) Height Calculation:** To find the height \( h \) at \( t = 2.50 \, \text{s} \), substitute \( t = 2.50 \) into the height equation: \( h = 3.50 \times (2.50)^3 \).- **(b) Velocity Calculation:** The velocity of the drone is the derivative of the height with respect to time: \( v(t) = \frac{dh}{dt} = \frac{d}{dt}[3.50 \, t^3] \).- **(c) Package Drop Time:** After calculating the initial height when the package is released, use free-fall motion equations to determine the time for the package to reach the ground. **Diagram Explanation:**The diagram should visually represent:- The drone at height \( h \) at time \( t = 2.50 \, \text{s} \).- The release of the package from the drone.- The trajectory and height change of the package until it reaches the ground.Ensure the diagram includes all relevant labels, such as heights, times, and motion directions.

Name: 4 **Problem: Calculating Drone Height and Package Drop Time**The heigh
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: 4 **Problem: Calculating Drone Height and Package Drop Time**The height above the ground of a drone is given by the equation \( h = 3.50 \, t^3 \), where \( h \) is in meters and \( t \) is in seconds. **Tasks:**1. Calculate at \( t = 2.50 \, \text{s