b) Assuming that the gravitational force is approximately constant near the eart

Question

b) Assuming that the gravitational force is approximately constant near the earth’s surface, what is the predicted motion of an object dropped from a height of 10 meters at time zero, where air resistance is neglected? For this question, you do not need a computer program to work it out; it can be worked out using calculus and the Momentum Principle in the limit t goes to zero.

c) Using the same assumption as in part (b), what is the predicted motion if the object is moving at a speed of 4 m/s with a direction 300 from vertical at time zero.

Explanation / Answer

b) the motion of the body will be that of a freely falling body

s=10 m, u=0, g=9.8 m /s2

s=ut+0.5gt2

time,t=sqrt(2s/g)=1.4285 seconds

v2-u2=2as

final velocity,v=sqrt(2gs)=14 m/s

c) the motion of the object will that like a projectile

=60 degress, u=4 m/s,

range,R=u2sin(2) / g= 1.4139 m

time of flight, t= 2usin()/g= 0.7069 seconds

max hieght= (vsin())2/2g = 0.6122 m

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