What height will your cousin reach if thrown at 5 m/s?

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If a cousin is thrown straight up at 5 m/s, the maximum height reached is calculated to be 1.3 meters. The relevant equations involve the initial velocity, final velocity, and acceleration due to gravity. The time taken to reach this height is approximately 0.51 seconds. The calculations confirm that the height of 1.3 meters is accurate. Therefore, the conclusion is that the cousin will reach a height of 1.3 meters when thrown at that speed.
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Homework Statement



If you toss your little cousin straight up into the air at 5 m/s, how high above your hands will he/she go?


0.5 m

1.3 m

2.0 m

70 m


Homework Equations



d = (0-5^2) / 2 (-9.8)
d = 1.3 m

The Attempt at a Solution



My cousin will fly 1.3 m high if I throw her at 5 m/s.

Is that correct?
 
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Distance = ??
Tine = ??
Velocity initial=5m/s
Velocity final = 0m/s
Acceleration = -9.8m/s

T = Vf-Vi / A
T = -5 / -9.8
T = .51s

D = ViT + AT^2 / 2
D = (5)(.51) + ((-9.8)(.51)(.51) / 2)
D = 1.3

yes 1.3 is correct
 
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