Projectile Motion Solved Problems

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The motion of falling objects, as covered in Problem-Solving Basics for One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal movement.

In this section, we consider two-dimensional projectile motion, such as that of a football or other object for which and thus can be analyzed separately.

We must find their components along the -axes, too.

We will assume all forces except gravity (such as air resistance and friction, for example) are negligible.

(b) The horizontal motion is simple, because and is thus constant.

(c) The velocity in the vertical direction begins to decrease as the object rises; at its highest point, the vertical velocity is zero.This fact was discussed in Kinematics in Two Dimensions: An Introduction, where vertical and horizontal motions were seen to be independent.The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical.The fuse is timed to ignite the shell just as it reaches its highest point above the ground.(a) Calculate the height at which the shell explodes.(sin53º=0, 8 and cos53º=0, 6)In the given picture you see the motion path of cannonball.Find the maximum height it can reach, horizontal distance it covers and total time from the given information.This means in order to find the distance an object traveled, you might first have to find the time it took or the initial velocity first.Just follow these steps and you should be able to fly through projectile motion problems!Assume that the initial height of the ball is equal to the height of the ball at the instant it begins to enter the trunk. Will a car dropped from 4,000 feet fall faster than a speeding car?Hint and answer The hints and answers for these projectile motion problems will be given next. I created a physics analysis for these six problems, in PDF format.

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