Given an object's mass and observing its acceleration, what can be found in a direct application of Newton's second law of motio
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To determine the maximum height for the projectile, we can use the timeless kinematics equation 
and plug in what we know. For 
, we know it is zero because at the highest location of flight, there is no vertical velocity. For 
, we know it is 
since the vertical component is the sine of the velocity. We need to solve for 
, so it is left as-is. Since the only acceleration is 
, we can substitute -9.81 into it. Solving for the equation yields a solution of 17.55 m for 
.