D) the north star is not part of our solar system...
hope this helps!
An important assumption to solve this problem is that the acceleration is uniform (constant).
Under that assumption you can use following formulae.
Acceleration = [Final velocity - Initial velocity] / time
You have final velocity = 0 and initial velocity = 16 km/h
Then you need to find the time.
Average velocity = [distance / time]
In this case the distance is the deformation of the bumper: 6.2 cm = 0.062 m = 0.000062 km
And when acceleration is constant, the average speed is equal to [Initial velocity + Final velocity] / 2 = [16 km/h + 0] /2 = 8 km/h
Now you can calculate time solving from Average velocity = [distance / time]
time = distance / average velocity = 0.000062 km / 8 km/h = 0.00000775 h
And, finally we can use the formula Acceleration = [Final velocity - Initial velocity] / time
Acceleration = [16 km/h - 0 km/h] / 0.00000775 h = 2,064,516 km/h^2
In an uniform accelerated motion, the distance covered by the fish is given by:
where
a is the acceleration
t is the time
The acceleration is equal to the increase in speed of the fish divided by the time taken:
If substitute the acceleration into the first equation, we find the distance covered by the fish:
Recall that average velocity is equal to change in position over a given time interval,
so that the <em>x</em>-component of is
and its <em>y</em>-component is
Solve for and , which are the <em>x</em>- and <em>y</em>-components of the copter's position vector after <em>t</em> = 1.60 s.
Note that I'm reading the given details as
so if any of these are incorrect, you should make the appropriate adjustments to the work above.