Our goal in the Projectile Motion Lab will be to measure the range R and height

Question

Our goal in the Projectile Motion Lab will be to measure the range R and height h of an object in free fall projectile motion as a function of launch angle and launch velocity, to compare those values to theoretical values and to determine whether or not our assumption is valid that the x and y motions can be analyzed independently. 1. When the only force acting on an object is the gravitational force we say the object is in free fall. Any object in free fall experiences a vertical acceleration of ay = g = ?9.8 m/s2 and a horizontal acceleration of ax = 0, since no force acts in the horizontal direction. (We ignore air resistance for the time being.) From our discussions and demonstrations in class we expect that the free fall motion of an object in the horizontal (x) direction and vertical (y) direction can be analyzed independently. 2. Review Chapter 4.3 of your text on "Projectile Motion". 3. Assuming that ax = 0 write out appropriate equations of motion for free fall in the horizontal (x) direction. (Use the following as necessary: g, vx0 as the x component of the initial velocity and t as the time.) x = R = 4. Assuming that ay = g, write out appropriate equations of motion for free fall in the vertical (y) direction. (Use the following as necessary: g, vy0 as the y component of the initial velocity and t as the time.) h = 5. The initial velocity of a ball launched into free fall is: vi = 15.75 m/s and ?i = 28

Explanation / Answer

a) vxo = 15.75 * cos 28 = 13.9m/s vyo = 15.75 sin 28 = 7.39 m/s b) 0 = 7.39 - 9.8 *t t = 0.754 s total time = 2*t = 1.508 s c) v^2 = 7.39^2 - 2*9.8*h h = 7.39^2/(2*9.8) = 2.786 m d) R = vx0*total time = 13.9*1.5 = 20.96 m

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.