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

In summary, the relationship between height and velocity is described by the kinematic equations in physics. An increase in velocity leads to a higher height, and both height and velocity can change simultaneously due to acceleration. The formula for calculating height with velocity is h = v<sub>0</sub>t + 1/2at<sup>2</sup>, and air resistance can decrease an object's velocity and maximum height.
  • #1
billybobay
13
0

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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  • #2
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
 

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

What is the relationship between height and velocity?

The relationship between height and velocity is a fundamental concept in physics known as the kinematic equations. These equations describe how an object's position (height) changes over time based on its initial velocity and acceleration.

How does an increase in velocity affect height?

An increase in velocity will cause an object to travel a greater distance in a given amount of time. This means that the object will reach a greater height compared to if it had a lower velocity.

Can an object's height and velocity change at the same time?

Yes, an object's height and velocity are constantly changing as it moves through space. This is due to the effects of acceleration, which can cause changes in both height and velocity simultaneously.

What is the formula for calculating height with velocity?

The formula for calculating height with velocity is h = v0t + 1/2at2, where h is the height, v0 is the initial velocity, t is the time, and a is the acceleration.

How does air resistance affect height and velocity?

Air resistance can have a significant impact on an object's height and velocity. As an object moves through the air, it experiences a force in the opposite direction of its motion. This force, known as drag, can cause a decrease in the object's velocity and ultimately result in a lower maximum height.

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