Projectile motion and inclined planes both involve the two-dimensional motion of an object. How are projectile motion and inclined planes related in the study of two-dimensional motion? The parallel force of gravity is calculated as the object's mass times the acceleration of gravity times the sine of theta, while the perpendicular force of gravity is calculated as the object's mass times the acceleration of gravity times the cosine of theta. Inclined planes, on the other hand, involve the analysis of parallel and perpendicular force components, both affected by gravity. ![]() The vertical displacement takes into account the initial vertical velocity times time, plus the acceleration times time squared over two. When dealing with two-dimensional motion, projectile motion focuses on horizontal displacement (x), which equals the velocity of the horizontal component times time (t). The angled velocity of projectiles needs to be separated into its horizontal and vertical components, utilizing cosine and sine functions in relation to the angle (theta) at which the projectile was launched. ![]() The acceleration due to gravity can be approximated as -10m/s². It's important to remember that only the vertical component is affected by gravity's acceleration. ![]() For projectile motion, this involves looking at both the horizontal and vertical components. A key point in the analysis of 2D motion is the separation and independent examination of each dimension.
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