In most projectile motion problems, air resistance is neglected. This oversimpli
ID: 1706385 • Letter: I
Question
In most projectile motion problems, air resistance is neglected. This oversimplification is acceptable in only a few special cases. This problem will illustrate the pitfalls of neglecting air resistance. We will start with the standard projectile motion equations given in the text and compare these results to results obtained using the equations of x and y as a function of time with air resistance. When air resistance is included, the equations are given below, with the introduction of the terminal velocity of the object, vt.Part I. Calculate the range (a), maximum height (b) and time of flight (c) for no air resistance.
Part II. Repeat the calculation for a baseball and tennis ball using the same initial conditions.
Part III. Find the initial velocity needed to achieve the same range as the projectile motion equations using the same launch angle as in Part I.
Given: x0 =y0 =0
v0 = _________ m/s
? = 40o
baseball: vt = 42 m/s
Find:
(a) R0 from projectile motion equations
(b) hmax from projectile motion equations
(c) T from projectile motion equations
(d) R(baseball),
(e) hmax(baseball),
(f) T(baseball)
(g) v0(baseball) for R(baseball) = R0
Explanation / Answer
Projectile motion is the act of projecting an object into the air at an angle other than 90degree. A few real life examples of projectile motion are throwing a tennis ball, kicking a rugby ball. To create this motion, something must first be thrown outwards with an angle. After it has been done the ball gets to its highest point because the force it was thrown out first with has been lost. At that point it would be the highest point it can reach and its velocity will become zero and it will continue to move forward until it hit the ground. The gravity will always bring the ball back down onto the floor.
part 1: with out air resistance
max H = v^2sin^2/2g
max R = v^2 sin2/g
part2 : the above equation are same for all objects.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.