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A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of *d* = 16.5 m before hitting the ground. From what height was the rock thrown? Use the value *g* = 9.800 m/s2 for the free-fall acceleration.

Find the height yi from which the rock was launched. Express your answer in meters to three significant figures.

To find the height from which the rock was launched, we can use the equations of projectile motion.

Let's break down the initial velocity of the rock into its horizontal and vertical components.

The horizontal component is given by: