course phy 201
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Week 4 Quiz 1 Version 1A projectile leaves the edge of a table and, while traveling horizontally at a constant 37 cm/s, falls freely a distance of 149 cm to the floor. If its vertical acceleration is 980 cm/s2, how long does it take to fall and how far does it travel in the horizontal direction during th
The initial vertical velocity is v0= 0cm/s
The acceleration a = 980cm/s
The displacement in height is 149cm
You would use the equation `ds = v0 `dt + .5 a `dt^2
Since the initial velocity is 0 the first part of the equation is 0 so now you have left
‘ds = 0.5a^’dt^2 so then you solve for ‘dt
‘dt = srt( 2 `ds / a) Then plug in answers
‘dt = srt( 2*149cm/980cm/s)= 0.55seconds
Since the horizontal velocity remains at 37cm/s, it travels through a displacement of 37cm/s * 0.55s= 20.35cm in this time.
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