NeuroEducation

How Far Does It Land?

Difficulty: Easy · Topics: Projectile Motion, Kinematics

Qanchalik uzoqqa tushadi?

A ball is thrown horizontally at 10 m/s from the top of a 45 m cliff.

physics "view":[-1.5,-1.55,6.2,4.15],"alt":"An object thrown horizontally at speed v0 from the top of a cliff of height h lands a horizontal distance R from its base.","items":["type":"region","from":[-1.25,-0.4],"to":[0,"=H"],"fill":"peach","type":"region","from":[0,-0.4],"to":[5.9,0],"fill":"peach","type":"line","from":[-1.25,"=H"],"to":[0,"=H"],"width":2,"type":"line","from":[0,"=H"],"to":[0,0],"width":2,"type":"line","from":[0,0],"to":[5.9,0],"width":2,"type":"polyline","points":"sample":"s","from":0,"to":"=Tend","n":60,"at":["=0.25 + v s/S","=H + 0.22 - g s s/2/S"],"dash":"4 4","width":1.1,"type":"ball","at":[0.25,"=H + 0.22"],"r":0.2,"type":"arrow","from":[0.5,"=H + 0.22"],"to":["=0.5 + 0.09 v","=H + 0.22"],"colour":"velocity","width":2,"head":10,"label":"v 0","anchor":"c","labelAt":["=0.5 + 0.045 v","=H + 0.55"],"type":"ball","at":["=0.25 + R",0.22],"r":0.2,"if":"0.25 + R < 5.8","type":"dim","from":[-0.7,0],"to":[-0.7,"=H"],"label":"h","anchor":"w","side":1,"type":"dim","from":[0,-0.85],"to":["=0.25 + R",-0.85],"label":"R","anchor":"s","side":-1,"if":"0.25 + R < 5.8"],"params":["id":"v","label":"v 0","min":2,"max":20,"step":0.5,"value":10,"unit":"m/s","id":"h","label":"h","min":10,"max":55,"step":1,"value":45,"unit":"m"],"let":"S":"13.2","g":"10","H":"h/S","T":"sqrt(2 h/g)","R":"v T/S","Tend":"min(T, 5.7 S/max(v, 0.01))"

How far from the base of the cliff, in metres, does it land? Take g = 10 m/s^2.

45 m balandlikdagi jarlik tepasidan to‘p 10 m/s tezlik bilan gorizontal otiladi.

physics "view":[-1.5,-1.55,6.2,4.15],"alt":"An object thrown horizontally at speed v0 from the top of a cliff of height h lands a horizontal distance R from its base.","items":["type":"region","from":[-1.25,-0.4],"to":[0,"=H"],"fill":"peach","type":"region","from":[0,-0.4],"to":[5.9,0],"fill":"peach","type":"line","from":[-1.25,"=H"],"to":[0,"=H"],"width":2,"type":"line","from":[0,"=H"],"to":[0,0],"width":2,"type":"line","from":[0,0],"to":[5.9,0],"width":2,"type":"polyline","points":"sample":"s","from":0,"to":"=Tend","n":60,"at":["=0.25 + v s/S","=H + 0.22 - g s s/2/S"],"dash":"4 4","width":1.1,"type":"ball","at":[0.25,"=H + 0.22"],"r":0.2,"type":"arrow","from":[0.5,"=H + 0.22"],"to":["=0.5 + 0.09 v","=H + 0.22"],"colour":"velocity","width":2,"head":10,"label":"v 0","anchor":"c","labelAt":["=0.5 + 0.045 v","=H + 0.55"],"type":"ball","at":["=0.25 + R",0.22],"r":0.2,"if":"0.25 + R < 5.8","type":"dim","from":[-0.7,0],"to":[-0.7,"=H"],"label":"h","anchor":"w","side":1,"type":"dim","from":[0,-0.85],"to":["=0.25 + R",-0.85],"label":"R","anchor":"s","side":-1,"if":"0.25 + R < 5.8"],"params":["id":"v","label":"v 0","min":2,"max":20,"step":0.5,"value":10,"unit":"m/s","id":"h","label":"h","min":10,"max":55,"step":1,"value":45,"unit":"m"],"let":"S":"13.2","g":"10","H":"h/S","T":"sqrt(2 h/g)","R":"v T/S","Tend":"min(T, 5.7 S/max(v, 0.01))"

U jarlik etagidan necha metr uzoqlikka tushadi? g = 10 m/s^2 deb oling.

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