Answer to Question #151499 in Physics for stetson

Question #151499
A balloon powered car is shot horizontally off the end of a 2.7 m high table at 5.5 m/s. How far horizontally from the edge of the desk does the car land?
1
Expert's answer
2020-12-21T10:39:11-0500

Time of falling tt can be found from the kinematic equation (if there is no vertical initial velocity component):


h=gt22h = \dfrac{gt^2}{2}

where h=2.7mh = 2.7m is the table height, and g=9.81m/s2g = 9.81m/s^2 is the gravitational acceleration. Thus, obtain:



t=2hg=22.79.810.74st = \sqrt{\dfrac{2h}{g}} = \sqrt{\dfrac{2\cdot 2.7}{9.81}} \approx 0.74s

In this time the survival kit covers the following horizontal distance:


d=v0t=5.5m/s0.74s4.1md = v_0t = 5.5m/s\cdot 0.74s \approx 4.1m

Here v0=5.5m/sv_0 = 5.5m/s is the initial horizontal velocity of the car.


Answer. 4.1 m.


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