Question

The speed of a falling object can be modeled using the equation s(t)=72(1-e⁻³.⁵ᵗ), where t is the number of seconds it has been falling and s is the sport in feet per second. which of the following is closest to the number of seconds it will take for the object to reach a speed of 60 feet per second?

Answer 1

To find the number of seconds it will take for the object to reach a speed of 60 feet per second, we can set s(t) equal to 60 and solve for t. After solving the equation, the closest number of seconds is approximately 0.29 seconds.

Step-by-step explanation:

The equation given is s(t) = 72(1 - e-3.5t), where t represents the number of seconds the object has been falling, and s represents the speed in feet per second. To find the number of seconds it will take for the object to reach a speed of 60 feet per second, we can set s(t) equal to 60 and solve for t.

So, 60 = 72(1 - e-3.5t).

After solving this equation, we find that the closest number of seconds it will take for the object to reach a speed of 60 feet per second is approximately 0.29 seconds. This is the required answer that we want.