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Question: how to findthe angle of an object thown when only given the initial velocity and time

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Given only the initial velocity and time, it is not possible to directly determine the angle at which an object was thrown. You need at least one more piece of information, such as the maximum height, range, or vertical displacement of the object at a given time. However, I can give you the steps to find the angle if you have any of these additional pieces of information. For instance, let's assume you have the maximum height (H) of the projectile: 1. Write down the known values: initial velocity (v0), time (t), and maximum height (H). 2. Calculate the initial vertical velocity (v0y) using the equation H = (v0y^2) / (2 * g), where g is the acceleration due to gravity (approximately 9.81 m/s²). Solve the equation for v0y. 3. Calculate the initial horizontal velocity (v0x) using the equation v0x = (total horizontal distance) / t. Note: if you don't have the total horizontal distance, you can only calculate the ratio between v0x and v0y. 4. Calculate the angle (θ) using the equation θ = atan(v0y / v0x), where atan is the inverse tangent function or arctangent. If you have a calculator, you can use the 'atan' function to find the angle in radians, then convert to degrees by multiplying by (180/π). Remember, you need at least one more piece of information to determine the angle using the initial velocity and time.

April 20, 2023, 7:31 p.m.

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