1) Complete the table (Notice that the time is incrementing by 2.0 seconds. 2) C
ID: 1596204 • Letter: 1
Question
1) Complete the table (Notice that the time is incrementing by 2.0 seconds.
2) Construct a graph of velocity versus time.
3) How long does it take to reach the highest point ? ________seconds
4) How high does it rise? use the graph--no one of the kinematics equations--to find the distance upward. (show your work in the space below.
5) When the rocket returns to the starting point the velocity is -136.2 m/s. Mark this point on your graph. How long was the rocket in the air? Use the graph--not one of the kinematics equations--to find the time that corresponds to a velocity of -136.2m/s (show your work in the space below)
I found my answer for times and velocity. T/0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32. Velocity/0, 58.8, 117.6, 98, 78.4, 58.8, 39.2, 19.6, 0, -19.6, -39.2, -58.8, -78.4, -98, -117.6, -137.2, -156.8. If you are disagree with my answer, you can put yours and explain your reasonable answer. Thank you
Explanation / Answer
consider the motion of rocket for first 4 sec :
Vo = initial velocity = 0 m/s
a = acceleration = 29.4
t = 4 sec
final velocity is given as
Vf = Vo + at
Vf = 0 + 29.4 x 4 = 117.6 volts
height gained is given as
h = Vo t + (0.5) a t2
h = 0 (4) + (0.5) (29.4) (4)2 = 235.2 m
consider the motion of rocket after 4 sec :
Vf' = final velocity at the highest point = 0
a' = acceleration due to gravity = - 9.8
t' = time taken to reach highest point
Vf = initial velocity after 4 sec = 117.6
using the equation
V'f = Vf + a' t'
0 = 117.6 - 9.8 t'
t' = 12 sec
height gained in 12 sec :
h' = Vf t + (0.5) (-9.8) t2
h' = 117.6 (12) + (-4.9) (12)2 = 705.6 m
Total time to reach the maximum height from the initial position = t + t' = 4 + 12 = 16 sec
Total height gained is given as
H = h + h' = 235.2 + 705.6 = 940.8 m
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