Answer:
The final velocity of the plane is 100 m/s.
Explanation:
To solve this problem, we will use one the kinematics equations. First, let's write out what information we have given and what we are trying to find.
x = 5.0 * 10^2 m
a = 5.0 m/s^2
v1 = 0 m/s (starts from rest)
v2 = ? (we are trying to find the final velocity)
Using the variables listed above, we can select the following equation to use:
v2^2 = v1^2 + 2ax
Now, we should plug in our known values and isolate the unknown variable.
v2^2 = 0 + 2(10)(500)
To solve for the velocity, we should take the square root of both sides of the equation to get rid of the square on the left side of the equation.
v = sqrt(10,000)
Now, we must simplify the right side of the equation to solve for v (the unknown variable).
v = 100 m/s
Therefore, your answer is 100 m/s.
Hope this helps!