Answer:
2621.25 meters
Explanation:
First, write down what we are given.
Initial velocity = 27.5 m/s
Final velocity = 42.4 m/s
Time = 75 seconds
We need to look at the kinematic equations and determine which one will be best. In this case, we need an equation with distance. I am going to use [tex]v_{f}^{2} = v_{i}^{2} +2ad[/tex], but you can also use the other equation, [tex]x = v_{o}t+\frac{1}{2}at^{2}[/tex]
We need to find acceleration. To find it, we need to use the formula for acceleration: [tex]a = \frac{v_{f}-v_{i}}{t}[/tex]. Plugging in values, [tex]a = \frac{42.4-27.5}{75} = .199\ m/s^{2}[/tex]
Next, plug in what we know into the kinematics equation and solve for distance. [tex]42.4^{2} = 27.5^{2} + 2(.199)(d)\\d = 2621.25\ meters[/tex]
