2.525 m/s is its final speed at the bottom of the ramp when it has slide down a ramp of 1.6 m.
<h3>What is Speed?</h3>
The rate of change of position of an object in any direction is termed as the speed of that object. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.
Acc. to the given data:
ΣFx = max
mg sin() = m ax (componential form)
ax = g sin()
putting, g = 9.8 and = 15 degrees:
ax=9.8 sin15
ax=9.8 0.2588
ax = 2.5 m/s2
Plug this, and xo = 0, vox= 0, and x =1.6, into the equation:
x - xo = vox t + ½ ax t2
gives:
1.6= 1.25t2
solving for t tells us that the box takes 1.01 s to slide down the ramp.
Now to find the final speed use the following equation
v=u+at where u=0
v=0+2.51.01
v=2.525 m/s
Hence, 2.525 m/s is its final speed at the bottom of the ramp when it has slide down a ramp of 1.6 m.
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