Question

A projectile is thrown from the top of a 60 -meter tall building and takes 5 seconds to reach the ground. (a) Formulate a second-order Boundary Value Problem which models the problem.

Answer 1

The second-order boundary value problem that models the problem is y''(t) = -g.

Step-by-step explanation:

When a projectile is thrown from the top of a building, it follows a parabolic path. In this case, the boundary value problem that models the problem would be a second-order differential equation.

Let y(t) represent the height of the projectile at time t. The following equation represents the motion of the projectile:

y''(t) = -g

where g is the acceleration due to gravity.

This is a second-order boundary value problem because it involves the second derivative of y with respect to t.