Calculating a Model Rocket's Speed and Altitude Using Acceleration of Gravity

In summary, the acceleration of gravity, denoted as "g", is a physical constant that represents the acceleration an object experiences when falling towards a gravitational source. It can be calculated using the formula g = G * M / r^2, and on Earth, it has a value of approximately 9.8 m/s^2. However, it varies on different planets depending on their mass and radius, and it decreases as altitude increases due to the distance between the object and the Earth's center increasing.
  • #1
gragsur
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Homework Statement


A model rocket leaves the ground , heading straight up at 49 m/s
a) what is its maximum altitude?
b) what are its speed and altitude at 1,4 & 7 seconds


Homework Equations


v=v0 + at
x= x0 + 1/2 (v0 + v) t
x= x0 + v0t + 1/2 at^2
v^2=v0^2 +2a (x-x0)



The Attempt at a Solution


Am able to work out maximum altitude no problem , for some reason can't get my head around b) ?
 
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  • #2
Use the formula
x = xo + vot - 1/2*g*t^2 and find x at given time t.
 

1. What is acceleration of gravity?

The acceleration of gravity, denoted as "g", is a physical constant that represents the acceleration an object experiences when falling towards a gravitational source, such as the Earth.

2. How is acceleration of gravity calculated?

The acceleration of gravity can be calculated using the formula g = G * M / r^2, where G is the gravitational constant, M is the mass of the gravitational source, and r is the distance between the object and the source.

3. What is the value of acceleration of gravity on Earth?

The value of acceleration of gravity on Earth is approximately 9.8 m/s^2, which means that an object in free fall will accelerate at a rate of 9.8 meters per second squared towards the Earth's surface.

4. Does acceleration of gravity vary on different planets?

Yes, the acceleration of gravity varies on different planets depending on their mass and radius. For example, on the surface of the Moon, the acceleration of gravity is approximately 1.6 m/s^2, while on Jupiter it is approximately 24.8 m/s^2.

5. How does altitude affect acceleration of gravity?

As altitude increases, the acceleration of gravity decreases. This is because as an object moves away from the Earth's surface, the distance between the object and the Earth's center increases, resulting in a decrease in the gravitational force and therefore a decrease in acceleration of gravity.

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