To calculate the value for the acceleration of free fall at the surface of the planet using the given information, you can follow these steps:
1. Determine the distance traveled by the sphere horizontally between the two photographs taken 0.20 seconds apart. Let's call this distance "d."
2. Use the formula for horizontal motion: d = v₀t + 0.5at², where v₀ represents the initial horizontal velocity (which is 0 since it is projected horizontally), t is the time interval (0.20 seconds), and a is the horizontal acceleration (which we want to find). Rearranging the formula, we have a = 2d / t².
3. Calculate the value of a using the known values of d (horizontal distance) and t (time interval).
Note: The value you calculate will represent the horizontal acceleration, but since there is no vertical motion (the sphere was projected horizontally), this value will be the same as the acceleration of free fall at the surface of the planet in the horizontal direction.
Keep in mind that this calculation assumes that the sphere is not influenced by any external forces such as air resistance.
If a small here is projected horizontally near the surface of a planet and photographs of the sphere are taken at time intervals of 0.20 and the images of the sphere are placed on a grid and each square on the grid represents a distance of 1.00 m in both horizontal and vertical directions, how would you calculate a value for the acceleration of free fall at the surface of the planet
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