ou decide to play a trick on your friend using a giant water balloon as shown in the figure attached below. The balloon is dropped (no initial velocity) from a height of 42.79 meters. At the exact moment, you drop the balloon your friend throws a rock straight up to strike and burst the balloon before it lands. We will take the rock to be thrown with an initial velocity of 108 km/hr from an initial height of zero. Convert the rock's initial velocity into proper units. v0(rock) = ? meters/second Write an equation for the y of the balloon at any time. yballoon(t) = Write an equation for the y of the rock at any time. yrock(t) = Determine the time at which the rock and balloon collide. tcollision = ? seconds. NOTE: The equations you input should have all numbers, except for the letter t. Examples of correct format (but not the right answers):

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Chapter1: Units, Trigonometry. And Vectors
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You decide to play a trick on your friend using a giant water balloon as shown in the figure attached below. The balloon is dropped (no initial velocity) from a height of 42.79 meters. At the exact moment, you drop the balloon your friend throws a rock straight up to strike and burst the balloon before it lands. We will take the rock to be thrown with an initial velocity of 108 km/hr from an initial height of zero.

Convert the rock's initial velocity into proper units. v0(rock) = ? meters/second

Write an equation for the y of the balloon at any time. yballoon(t) =

Write an equation for the y of the rock at any time. yrock(t) =

Determine the time at which the rock and balloon collide. tcollision = ? seconds.

NOTE: The equations you input should have all numbers, except for the letter t. Examples of correct format (but not the right answers):

6.25 + 4.12t -4.9t2

12t -18t3

14 - 6t

666 + 666t + 666t2

You decide to play a trick on your friend using a giant water balloon as shown in the figure below.
Dropped from initial
height y, at t=0
The balloon is dropped (no initial velocity) from a height of 42.79 meters. At the exact moment you drop the balloon your friend throws a rock straight up to strike and burst
the balloon before it lands. We will take the rock to be thrown with an initial velocity of 108 km/hr from an initial height of zero.
Convert the rock's initial velocity into proper units. Vo(rock) =
meters/second
Thrown upward from yo=0
with velocity v₁ at t=0
Write an equation for the y of the balloon at any time. Yballoon(t)
Write an equation for the y of the rock at any time. Yrock(t) =
6.25 +4.121-4.91²
• 12t-181³
14-6t
.666 +666t+6661²
Determine the time at which the rock and balloon collide. collision=
NOTE: The equations you input should have all numbers, except for the letter t.
Examples of correct format (but not the right answers):
=
seconds.
Activa
Go to S
Transcribed Image Text:You decide to play a trick on your friend using a giant water balloon as shown in the figure below. Dropped from initial height y, at t=0 The balloon is dropped (no initial velocity) from a height of 42.79 meters. At the exact moment you drop the balloon your friend throws a rock straight up to strike and burst the balloon before it lands. We will take the rock to be thrown with an initial velocity of 108 km/hr from an initial height of zero. Convert the rock's initial velocity into proper units. Vo(rock) = meters/second Thrown upward from yo=0 with velocity v₁ at t=0 Write an equation for the y of the balloon at any time. Yballoon(t) Write an equation for the y of the rock at any time. Yrock(t) = 6.25 +4.121-4.91² • 12t-181³ 14-6t .666 +666t+6661² Determine the time at which the rock and balloon collide. collision= NOTE: The equations you input should have all numbers, except for the letter t. Examples of correct format (but not the right answers): = seconds. Activa Go to S
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