QUESTION IMAGE
Question
- very challenging: a person riding a bike has an initial velocity of 10 meters per second and accelerates at a constant rate of 2 meters per second². after 5 seconds, the person would travel how many meters? show you thinking below.
- how is motion defined in science?
- describe an original example that shows how frame of reference influences the perception of motion.
2.
Step1: Identify the kinematic - equation
We use the equation $s = v_0t+\frac{1}{2}at^{2}$, where $s$ is the displacement, $v_0$ is the initial velocity, $a$ is the acceleration, and $t$ is the time.
Step2: Substitute the given values
Given $v_0 = 10\ m/s$, $a = 2\ m/s^{2}$, and $t = 5\ s$. Substitute into the equation: $s=(10\times5)+\frac{1}{2}(2)(5)^{2}$.
Step3: Calculate the result
First, calculate $10\times5 = 50$. Then, calculate $\frac{1}{2}(2)(5)^{2}=25$. So, $s=50 + 25=75$ meters.
In science, motion is defined as a change in position of an object with respect to time and a reference point.
Suppose you are in a car moving at a constant speed on a straight road. If you look out the window at a tree on the side of the road, the tree appears to be moving backward relative to you. But if you look at the car's dashboard, the dashboard appears stationary. The tree's motion is perceived differently depending on whether your frame of reference is the moving car or the stationary ground.
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75 meters