Joshua and Erika are testing spring launchers on a nearby moon (not ours). Both shoot the projectiles from different heights. Joshua is shooting from the top of a rocky outcropping, while Erika is shooting from the top of their spaceship. The table shows the time, t, in seconds and height, h(t), in meters of Erika's Nerf darts in flight. The function, J(t), models the height in meters of Joshua's darts in flight over time, t. Joshua Erika h(t) 14 0.5 18 20 J(t) = -2t2 + 8t + 10 20 1.5 2 18 2.5 14 3. 8 3.5 Part A: Whose projectile went higher? Part B: After the initial trial, the astronauts wonder whose projectile would have reached the highest point if they had both launched from 14 meters. Complete the statement below to answer their question. 's projectile would have gone higher since that projectile would have reached a height

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Chapter3: Vectors
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Joshua and Erika are testing spring launchers on a nearby moon (not ours). Both shoot the projectiles from
different heights. Joshua is shooting from the top of a rocky outcropping, while Erika is shooting from the
top of their spaceship. The table shows the time, t, in seconds and height, h(t), in meters of Erika's Nerf
darts in flight. The function, J(t), models the height in meters of Joshua's darts in flight over time, t.
Joshua
Erika
t
h(t)
14
0.5
18
20
J(t) = -2t2 + 8t + 10
20
1.5
18
2.5
14
8.
3.5
Part A: Whose projectile went higher?
Part B: After the initial trial, the astronauts wonder whose projectile would have reached the highest point
if they had both launched from 14 meters. Complete the statement below to answer their question.
's projectile would have gone higher since that projectile would have reached a height
of
meters.
1.
2.
3.
Transcribed Image Text:Joshua and Erika are testing spring launchers on a nearby moon (not ours). Both shoot the projectiles from different heights. Joshua is shooting from the top of a rocky outcropping, while Erika is shooting from the top of their spaceship. The table shows the time, t, in seconds and height, h(t), in meters of Erika's Nerf darts in flight. The function, J(t), models the height in meters of Joshua's darts in flight over time, t. Joshua Erika t h(t) 14 0.5 18 20 J(t) = -2t2 + 8t + 10 20 1.5 18 2.5 14 8. 3.5 Part A: Whose projectile went higher? Part B: After the initial trial, the astronauts wonder whose projectile would have reached the highest point if they had both launched from 14 meters. Complete the statement below to answer their question. 's projectile would have gone higher since that projectile would have reached a height of meters. 1. 2. 3.
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