I finding the distance and the time

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In summary, the bottle rocket has an engine that provides a net acceleration of 30 m/s2 for 0.5 seconds. Using the equation v^2-u^2=2ax, the rocket reaches a height of 15.23 meters. However, to find the total time from launch to landing, we cannot use the same acceleration and time values as the rocket decelerates on its way down. Therefore, the velocity found using v=at is not accurate.
  • #1
Mary0524
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Homework Statement



1. A bottle rocket has an engine that accelerates it upward. Then it coasts to its highest point before returning to the ground. Assuming that the engine creates a net acceleration of 30 m/s2 for 0.5 s, how high does it go, and how long does it take to reach the ground again?

acceleration= 30m/s^2
time=0.5s

Homework Equations


v^2-u^2=2ax

The Attempt at a Solution


0^2-(15m/s)^2=2(-9.8m/s^2)x
-225=-19.6x
-255/-19.6
x=11.48m
to get total height i did 11.48m+3.75m=15.23m

now how do i get velocity for the other question
v=at
v=30m/s^2*0.5s
v=15m/s
does this work?
 
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  • #2
The acceleration isn't 30m/S^2 on the way down. Nor is the time 0.5 seconds.
 
  • #3
Mary0524 said:
...
15.23m
That's what I come up with.
now how do i get velocity for the other question
v=at
v=30m/s^2*0.5s
v=15m/s
does this work?
I thought the second part of the question was "find: Total time, from launch to landing"
?
 

FAQ: I finding the distance and the time

What is the formula for finding distance and time?

The formula for finding distance is distance = speed x time. The formula for finding time is time = distance / speed.

How do I find the distance when given the time and speed?

To find the distance, simply multiply the speed by the time. For example, if the speed is 50 mph and the time is 2 hours, the distance would be 50 x 2 = 100 miles.

How do I find the time when given the distance and speed?

To find the time, divide the distance by the speed. For example, if the distance is 100 miles and the speed is 50 mph, the time would be 100 / 50 = 2 hours.

What units should I use for distance and time?

The units for distance and time should match the units of the speed. For example, if the speed is given in miles per hour, the distance would be in miles and the time would be in hours.

How do I convert between different units of distance and time?

To convert between units, use conversion factors. For example, to convert from miles to kilometers, multiply the distance in miles by 1.609. To convert from hours to minutes, multiply the time in hours by 60.

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