Jack (mass of jack and his bike is 100kg) is traveling at some initial velocity

Question

Jack (mass of jack and his bike is 100kg) is traveling at some initial velocity (vi) as he approaches the bottom of a hill (angle is 30 degrees). He decides to coast up the hill without peddling until he stops at a vertical height (h) of 6 m. Neglecting friction, determine jacks initial velocity. Jack (mass of jack and his bike is 100kg) is traveling at some initial velocity (vi) as he approaches the bottom of a hill (angle is 30 degrees). He decides to coast up the hill without peddling until he stops at a vertical height (h) of 6 m. Neglecting friction, determine jacks initial velocity.

Explanation / Answer

given that

mass of jack and his bike =100 kg

initial velocity Vi =?

maximum height to reach is Hmax =6m

angle =30

this problem belongs to newtons laws of motion

according to equation of kinematices

Vf^2 - Vi^2 =2aS ......................................[1]

the finial velocity of jack Vf =0

now sustitute the the value in equation 1

0 - Vi^2 sin^2(theta) = -2gHmax

Vi^2 sin^2(30) = 2*9.8*6

Vi^2*1/4 = 117.6

Vi^2 =4*117.6 =470.4

Vi =21.69 m/s

therefore the initial velocity of jack Vi =21.69 m/s

please send comment immideataly it is wrong or correct plz plz

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