Question

The path of an object can be modeled by the function f(t) = 5t^2 + 3 for all t > 0. Find each of the following:

The position of the object at t = 1 is:

Answer 1

The position of the object modeled by the function f(t) at t = 1 is found to be 8 units by substituting 1 for t in the equation.

Step-by-step explanation:

To find the position of the object at t = 1, we simply need to plug the value into the function f(t) = 5t2 + 3. The position function represents the object's location at a particular time. For t = 1, we have:

f(1) = 5(1)2 + 3 = 5(1) + 3 = 5 + 3 = 8

So, the position of the object at t = 1 is 8 units (from some reference point, perhaps meters or another unit of measure depending on the context).