An arrow fired horizontally at 41 m / s travels 23 m horizontally. From what height was it fired

step 1 In this exercise, we have to consider an arrow that's fired horizontally from a certain height.

An arrow fired horizontally at 41 m / s travels 23 m...

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Key Concepts

Determining Time of Flight

For a projectile launched horizontally, the time of flight can be calculated using the horizontal distance and the constant horizontal speed (time = distance/velocity). This calculated time is crucial for determining the vertical displacement experienced due to gravity.

Projectile Motion

Projectile motion describes the motion of an object that is launched into the air and moves under the influence of gravity, following a curved trajectory. This concept allows the separation of motion into horizontal and vertical components, each of which can be analyzed independently.

Independence of Horizontal and Vertical Motion

This principle states that the horizontal and vertical components of a projectile's motion are independent of each other. The horizontal motion typically occurs at a constant speed (assuming no air resistance), while the vertical motion is subject to gravitational acceleration.

Kinematic Equations for Uniform Acceleration

Kinematic equations, such as the one for vertical displacement (s = ut + 0.5at²), are used to relate displacement, velocity, acceleration, and time. In cases of objects in free fall, the initial vertical velocity is zero, simplifying the use of these equations.

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