What are the kinematic equations for projectile motion?

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SUMMARY

The discussion focuses on solving projectile motion problems using kinematic equations. A pitcher throws a ball at a 37-degree angle, and it remains airborne for 2.5 seconds. Key calculations include determining the initial speed of the ball, the maximum height reached, and the speed required for the pitcher to catch the ball. The relevant kinematic equations used are v = Vinitial + at and x - xinitial = vinitial(t) + 1/2 at^2, with gravitational acceleration set at g = -9.8 m/s².

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of projectile motion concepts
  • Familiarity with trigonometric functions for angle calculations
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the initial velocity of a projectile using the formula for vertical motion
  • Determine the maximum height of a projectile using kinematic equations
  • Explore the relationship between angle of projection and range
  • Learn about the effects of air resistance on projectile motion
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Students studying physics, educators teaching projectile motion, and anyone interested in applying kinematic equations to real-world scenarios.

afcwestwarrior
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Homework Statement


A pitcher throws a ball at an angle 37 degrees with the horizontal and observes that the ball stays in the air for 2.5s before hitting the ground. Neglecting air friction and the height of the pitcher, find
(a) the initial speed of the ball
(b) maximum height reached by the ball
(c) how fast would the pitcher have to run (at constant speed) to catch his own ball?

Homework Equations


v=Vinitial + at
x-xinitial=vinitial (t)+ 1/2 a t^2

basically the kinematic equations



The Attempt at a Solution


Vi=?
Vfinal=0
Ax=0
change in x=?
g=-9.8m/s^2

ok what do i do
 
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afcwestwarrior said:

Homework Statement


A pitcher throws a ball at an angle 37 degrees with the horizontal and observes that the ball stays in the air for 2.5s before hitting the ground. Neglecting air friction and the height of the pitcher, find
(a) the initial speed of the ball
(b) maximum height reached by the ball
(c) how fast would the pitcher have to run (at constant speed) to catch his own ball?

Homework Equations


v=Vinitial + at
x-xinitial=vinitial (t)+ 1/2 a t^2

basically the kinematic equations

The Attempt at a Solution


Vi=?
Vfinal=0
Ax=0
change in x=?
g=-9.8m/s^2

ok what do i do

Start with the Vy. You know how long it takes to go up and then goes down. What does that translate into as far as initial velocity up?
 
Last edited:
it's positive
 
afcwestwarrior said:
it's positive

and ... ?
 
i don't know
 

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