Q7DQ Sketch the six graphs of the x- ... [FREE SOLUTION]

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University Physics with Modern Physics

Hugh D. Young, Roger A. Freedman

Physics

14th edition Edition 路 1596 pages

ISBN: 9780321973610

Chapter 1: Q7DQ (page 92)

Sketch the six graphs of the x- and y-components of position, velocity, and acceleration versus time for projectile motion with $x_{0} = y_{0} = 0$ and $0 < 伪_{0} < 90 掳$ .

Short Answer

Expert verified

The diagram for position, velocity, acceleration versus time is

Step by step solution

Concept/Significance of projectile.

A projectile is an object that follows a parabolic route when it is projected with velocity not directly upwards but at an angle to the horizontal.

sketch of position, velocity, and acceleration versus time for projectile motion.

Consider the x axis. The initial horizontal component of the velocity remains constant during the flight in the absence of air resistance, i.e.,

$v_{x} = constant$ .

It follows from this that the horizontal distance travelled increases linearly with time. The horizontal acceleration is also 0 since there is no force in the direction.

Let's have a look at the next step, which is a little more complicated. For starters, we now have an acceleration of $a = - g$ .

The y coordinate follows a parabolic trajectory, as it does for any projectile motion. Finally, as the flight progresses, the speed drops - initially positive, then negative.

Thus, graph for position, velocity, acceleration versus time is