Gönderen Konu: Kinematics - Horizontal Projectile Motion  (Okunma sayısı 84 defa)

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Kinematics - Horizontal Projectile Motion
« : Şubat 15, 2020, 05:13:41 ÖS »
A question with its answer from New Jersey Institute of Technology:

A heavy object with mass m is dropped from a plane which is moving horizontally with a constant speed v at a height h above the ground. If one neglects air friction, the time for the object to hit the ground depends on _________ .

A) v only
B) v and h
C) v, h and m
D) h only
E) m only


Correct Choice: D

h = v·t - (1 / 2)·g·(t2)

The initial velocity (v) of the object due to the platform's speed has zero vertical component, so v = 0 in the vertical motion;

h = 0·t - (1 / 2)·g·(t2)

h = -(1 / 2)·g·(t2)

With the absolute value of the height;

h = (1 / 2)·g·(t2)

t = (2h / g)0,5

g: gravity of the place where this motion is considered.

https://web.njit.edu/~gary/111/assets/common1-practice.pdf (Page 2, Problem 6)
https://web.njit.edu/~gary/111/assets/Practice%20Common%20Exam%201%20Solutions.pdf (Answers)

Source: https://www.physicstutorials.org/home/mechanics/1d-kinematics/projectile-motion?start=1