This question refers to procedure 1. A box of mass M starts from rest at the top

Question

This question refers to procedure 1. A box of mass M starts from rest at the top of a frictionless incline, and is released from rest. When the box has traveled distance s along the incline, it is accelerating at a and moving at speed v. When it has traveled distance 2s along the incline

its acceleration is a and its speed is about 2v

its acceleration is 1.4a and its speed is about 2v   

its acceleration is 1.4a and its speed is about 4v

its acceleration is 2a and its speed is about 1.4v

its acceleration is 2a and its speed is about 2v

its acceleration is 2a and its speed is about 4v

its acceleration is 1.4a and its speed is about 1.4v

its acceleration is a and its speed is about 4v

its acceleration is a and its speed is about 1.4v

Explanation / Answer

after s distance,

using energy conservation ,

MgS.sin(theta) = Mv^2 /2

v = sqrt[ 2gS . sin(theta) ]

when 2S,

v = sqrt[2g2S . sintheta] s0 sqrt(2)v = 1.4v

and acc will always be same

so acc = a and velocity = 1.4v

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