Question

physics test - unit 3 - analyzing 1d motion with kinematics

1. an airplane initially travels at 10.0 m/s when passing the \acceleration line\. the airplane then accelerates at 8.00 m/s² until reaching its take - off velocity of 40.0 m/s.

what is the displacement of the plane during the acceleration?
150 m
93.7 m
3.75 m
100 m
clear all

Explanation:

Step1: Identify known values

Initial velocity $u = 10.0\ m/s$, final velocity $v = 40.0\ m/s$, acceleration $a= 8.00\ m/s^{2}$.

Step2: Use the kinematic - equation

We use the equation $v^{2}=u^{2}+2as$, where $v$ is final velocity, $u$ is initial velocity, $a$ is acceleration and $s$ is displacement. Rearranging for $s$ gives $s=\frac{v^{2}-u^{2}}{2a}$.

Step3: Substitute values

Substitute $u = 10.0\ m/s$, $v = 40.0\ m/s$ and $a = 8.00\ m/s^{2}$ into the formula:

$$
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$$

Answer:

93.7 m