A rocket with a satellite accelerates upward from the earth's surface. At 1.15 sec. after liftoff, the rocket clears the top of its launch platform, 63 m above the ground. What is the magnitude of the average velocity of the rocket for the 4.75 s flight?
2 Answers
The average velocity of the rocket during the first 4.75s is 226.75m/s upwards.
Explanation:
Note: I'm assuming a constant acceleration for this problem.
We can solve this problem using basic kinematics.
Since the rocket was at rest when launched, our initial velocity is
Find the acceleration of the rocket using our first set of info
Find the final velocity of the rocket at 4.75s
Find the average velocity of the rocket for the first 4.75s
Since we're looking for an average velocity and not an average speed we also need to include a direction, so our final answer is
Explanation:
FULL QUESTION
A rocket with a satellite accelerates upward from the Earth's surface. At 1.15 sec. after liftoff, the rocket clears the top of its launch platform, 63 m above the ground. After an additional 4.75 sec, it is 1.00 km above the ground.
What is the magnitude of the average velocity of the rocket for the 4.75 s flight?
So, you know that your rocket covers 63 m in 1.15 s, which means that you can determine the speed with which it clears the platform by using
Since the rocket started at rest, its initial velocity will be equal to zero. The acceleration of the rocket for the first 1.15 s of flight will be
The rocket's velocity after 1.15 s of flight is
Now, you know that after an additional 4.75 seconds, the rocket is at a height of 1.00 km above the ground.
This means that it covered, in 4.75 seconds of flight, an additional
Use this distance and the flight time to determine its acceleration for the second portion of the flight
This means tha the speed of the rocket after the second part of its flight will be
Therefore, the magnitude of the average velocity is