A rocket is shot upward from the ground with an initial velocity of 15.5 m/s. How high does the rocket travel?
V^2 = Vo^2 + 2g*h.
h = (V^2-Vo^2)/2g.
h = (0-240.25)/-19.6 = 12.26 m.
To determine how high the rocket travels, we need to use the equations of motion for objects in free fall or projectiles.
The equation that can help us solve this problem is the vertical displacement equation:
h = (v₀² - v²) / (2g)
Where:
- "h" is the vertical displacement (height) of the rocket.
- "v₀" is the initial velocity of the rocket.
- "v" is the final velocity of the rocket.
- "g" is the acceleration due to gravity (approximately 9.8 m/s² on Earth).
Given that the rocket has an initial velocity (v₀) of 15.5 m/s and that it travels vertically upwards, the final velocity (v) will be zero when it reaches its maximum height. Therefore, we can substitute these values into the equation as follows:
h = (15.5² - 0²) / (2 * 9.8)
Calculating this equation will give us the answer for the height the rocket travels.