5.An object is thown upward with an initial speed of 3 m/s and undergoes free-fa

Question

5.An object is thown upward with an initial speed of 3 m/s and undergoes free-fall from a height of 2m above a 1-m-high table. Sketch the plot of the position, velocity and acceleration of the object as a function of time until right before it reaches the ground.

6.Regarding the same situation as in problem 5, what is the time at which the ball is each of the following locations...

5. An object is thrown upward with an initial speed of 3 m/s and undergoes free-fall from a height of 2 m above a 1-m-high table. Sketch the plot of the position, velocity, and acceleration of the object as a func- tion of time until right before it reaches the ground. Be sure to scale the motion to fit on each plot and put appropriate numbering on each axis. Assume the positive direction is upward. Position Velocity Acceteration rding the same situation as in problem 5, what is the time at which the ball is each of the following b) at it's maximum height, (c) at the height of the table, (d) 1 m below 6. Rega locations: (a) 1 m above the table, (b) at it's maximum height, (c) at the height of the table,d the table, (e) and when it hits the ground. Use the appropriate kinematic equation to solve for these times and compare them to what your plots shows

Explanation / Answer

initial speed of 3 m/s

height of 2m above

for the ball thrown upward.
Note: U= initial velocity, S=distance

U1= 3m/s

S1=Ut -0.5gt^2
S1=3t-(0.5)(9.8)t^2
=3t -4.9t^2----------------eq.

for the dropped ball

U=0
S2= 0.5gt^2
= 4.9t^2-----eq.2


2-S2=S1-----eq.3

substitute eq.1, eq.2 to eq.3

2-4.9t^2=3t -4.9t^2

t= 2/3= 0.66 sec.

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