week4quiz1

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course Phy 231

2-12-11 about 2:00pm

A projectile leaves the edge of a table and, while traveling horizontally at a constant 38 cm/s, falls freely a distance of 108 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 the fall?ds= v0dt + .5a(dt)^2; v0=0, ds=108cm, a=980cm/s^2

ds= .5a(dt)^2

dt= sqrt( 2ds/a)

dt= sqrt( (2 * 108cm)/(980cm/s^2))

dt= sqrt( .22s^2)

dt= .469s is how long it takes to fall

horizontal distance travel= 38cm/s * .469s= 17.822cm

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&#Very good responses. Let me know if you have questions. &#