Question
In: Advanced Math
We can use our knowledge of air resistance to calculate its effect on a baseball in...
We can use our knowledge of air resistance to calculate its effect on a baseball in 2-dimensional projectile motion.
The effect of air resistance can be modeled with an extra acceleration term, so that the acceleration is no longer simply ⃗a = ⃗g but rather
⃗a = ⃗g − bv⃗v
We will use b = 0.002 m^(−1), a reasonable value for a baseball
flying through the air.
Let the initial velocity of the ball be 35 m/s at an angle of 42◦ above the horizontal.
(a) Write the expressions for ax and ay as functions of vx and vy.
(b) Write the expressions for x,y,vx, and vy as a function of t during the flight of the ball.
(c) How much shorter is the total range of the ball, due to losses from air resistance?
Solutions
Colby Messinger answered 2 years agoRelated Solutions
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How to Calculate the x ,y position of Horizontal Projectile motion with air resistance
How to Calculate the x ,y position of Horizontal Projectile
motion with air resistance
Use Excel, Matlab, LAbVIEW or other software What do we need? ▪ Assumptions: Negligible air resistance,...
Use Excel, Matlab, LAbVIEW or other software
What do we need?
▪ Assumptions: Negligible air
resistance, no wind effects,
▪ Governing equations: projectile equations (equations of
motion)
▪ Problem: Define what you are trying to investigate.
▪ find the optimal firing parameters (firing angle, muzzle
velocity) to hit a target that is a distance away and you are
shooting from a hill.
Start calculating and optimizing.
Vo = 10 ft/sec
Yo = 100 ft
g = 32 ft/sec^2
t =...
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