PSS 3.1 Projectile motion problems PROREM-SOLVING STRATEGY 3.1 Projeile motion p
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PSS 3.1 Projectile motion problems PROREM-SOLVING STRATEGY 3.1 Projeile motion pratiens We can solve projectie motion problems by considering the horinonital and vertical motions as separate but related problems PREPARE There are a number of steps that you shouid go through in seting up the solution to a projectle moton problem Learning Goal: To practice Problem Solving Stralegy 3.1 Projecsle molion problems Make simplitying assumptions. Whether tre projectie is a car or a basketball, the motion will be the same · Draw a visual overvew idning apriral regresenation, showing te bgning and erdeg poets of tomei n. Abal trown horinntally wth speed .260 /stravels a horlzontal distance of d 600 m belore hitting the ground. From what height h was the ball thrown? Establish a coordinale system with the 2 axis horizontal and eyaxis vertical. You know that the horizental accelerstion will be zero and the vertical Defne symbols and make a list of known values identily what the problem is asking you to Snd SOLVE There are two sets of kinemalics equations for projectile motion, one for the horizortal component and one for the verical Horizontal Vertical (v,),-(v,), constant (ty),-(e,h-sar Recogn i gthatAtiste same orthe ho eotal and vertical o rooets of he molor, you, can n / by sol ingter te vert calorhoria dal component of t motion and then using that value to complete the solution for the other component ASSESS Check that your resut has Bie correct units is eeasonable, and answers question PHEPARE Frst, make aperopriate simplitying assumptions Second draw a visual overview and establish a coordinate syslem Last, make a list of known variables and ident what the problem is asking you to find Part A When seting up projectle motian questions which of the folowing characterislics of projectile moton are important to keep in mind? Check all that apply Athoughthe hornornal andverkal motons of aproyectile are "dependent, they ano connected trough the bre .t hatthe object is inthe air Proiectie moto, vertical direction made upoftwo ndependent motonsunlum motion at constant velocity nne horuotal directionandteelal motion i"eExplanation / Answer
given
horizontal speed of ball v1 = 26 m/s
DISTANCE TRAVELLED, d = 60 m
height at which it was thrown = h
now time taken to travel 60 m horizontally = t
v1*t = d
t = d/v1 = 60/26 = 2.307 s
so, vertical height = h
using h = ut - 0.5gt^2
h = 0.5*g*t^2 [ as u = 0, no vertical velocity ]
h = 26.121 m
a. so the following points were kept in mind :
b. Although the horizontal and vertical motion of a projectile are independent they are connected by dT time, the object is in air
c. projectile motion is made up of two indepdndent motions, uniform motion at constant velocity in the horizontal direction and free fall motion in the verticla direction
we have neglected air resistance to solve this problem
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