How high will you be when you stop rising if you jump upward with an initial vertical speed of 2 m/s? Answer to the nearest 0.1 m, and use g = 9.80 m/s2.
To determine the maximum height you will reach when jumping upward, you need to understand the concepts of projectile motion and the principles of physics involved.
1. Given the initial vertical speed (also known as the initial upward velocity), which is 2 m/s, and the acceleration due to gravity (g) of 9.80 m/s^2, you can use the kinematic equation to calculate the maximum height.
2. The kinematic equation that relates the final velocity (vf), initial velocity (vi), acceleration (a), and displacement (s) is:
vf^2 = vi^2 + 2as
3. In this case, since you are jumping upward and eventually come to a stop, the final velocity (vf) will be zero.
4. Rearranging the equation, we get:
2as = -vi^2
5. To find the displacement, which represents the height reached, we need to find the negative value of s since it's in the upward direction and we consider upward as positive.
6. Substitute the values into the equation:
2 * (-9.80) * s = -2^2
7. Simplify the equation:
-19.6s = -4
8. Divide both sides of the equation by -19.6 to solve for s:
s = -4 / -19.6 = 0.2041 m
9. Rounded to the nearest 0.1 m, the maximum height you will reach when you stop rising is approximately 0.2 m.
Therefore, if you jump upward with an initial vertical speed of 2 m/s, you will reach a maximum height of approximately 0.2 m.