5.50 ppt batfink angle launched projectile motion
Transcript of 5.50 ppt batfink angle launched projectile motion
#1 All students must perform all of the work of the activity in their science journals even though you are working in your lab group.
#2 When you are sure of your answer, transfer the information onto a large whiteboard.
#3 The whiteboard work is to remain on the white board until it is approved.
Ebenezer the Freezer and Hugo A-Go-Go strap Batfink to a rocket.
Batfink emits a “BEEP” from his supersonic sonar radar that calculates the displacement the rocket will have at impact with the ground.
The rocket is launched at an angle of 30* to the horizontal and fortunately the rocket is faulty and only has a velocity of 39.2 m/s.
Draw a Motion Map for the rocket’s motion.
Resolve the initial velocity into two vector components, one moving the rocket horizontally and one vertically.
Show all of your work.
y
33.95 m/s = (Vx ) 19.6 m/s
30* x
SOH CAH TOA 33.95 m/s
SIN 30* = Vy/V
(39.2 m/s)(0.5) = (Vy )
19.6 m/s = (Vy )
SOH CAH TOACOS 30* = Vx/V (39.2 m/s)(0.866) = (Vx )
Calculate the time the rocket will spend in the air.
Know Want
Yf = 0 m t
Yo = 0 m
Vo = 19.6 m/s
a = -9.8 m/s2
General Formula Yf = Yo + Vot + ½ at2
0 = 0 + (19.6 m/s)(t) + ½ (-9.8 m/s2 )(t2)
(19.6 m/s)/-4.9 m/s2 = t
4 s = t
Calculate the “Xf” distance and the “∆Y” distance that the projectile will travel.
Horizontal Distance
X = Vx(t)
X = (33.9 m/s)(4 s)
X = 136 m
Vertical Distance
Y = Vy(t) + ½ gt2
Y = (19.6 m/s)(2s) – ½ (-9.8 m/s2)(2s2)
Y = 19.8 m
Construct and complete a Data Table with the first column being time (s), the second column distance (x) and the third distance (y).
Time (s) X (m) Y (m)
0.00 0.00 0.00
1.00 33.95 14.7
2.00 67.9 19.6
3.00 101.85 14.7
4.00 135.8 0.00
Graph the path of the projectile, distance “Y” over distance “X”.
Dis
tan
ce Y
(m
)
Distance X (m)
19.6
14.7
33.9 67.8 102 135.8