How Do I Handle These Physics Motion Problems?

[YoungOn3]

How can I convert the following:
45.2 Km/h into m/s
30.5 m/s into km/h

- A car moves at 18 m/s [E] and experiences a displacement of 450 m [ E]. How long did this trip take?

How can I solve these?

- A batmobile is moving with a constant velocity toward the north. Batman decides to slow down. In what direction will his acceleration be?

-An airplane accelerates from 82 m/s [E] to 95 m/s [E] in 6.5 seconds.
>Calculate the acceleration of the airplane.
>Write a sentence that descrives this motion

-A speedboat accelerates at 4.80 m/s(squared) [N] and reaches a final velocity of 32.6 m/s(squared) [N] in 2.31 s. What was the initial velocity of the boat?

If you guys know any websites that can help me look at motion formulas like velocity, displacement, acceleration, vectors...scales... explaining how to do them please post

Thanks

 

[CaptainZappo]

The latter problems can very easily be solved using only intuition. However, if your intuition isn't helping you a whole lot, you can always solve this by dimensional analysis.

Below you'll find a link to a page with a listing of a lot of conversion factors. These should help with the first two of your questions.

http://www.infoplease.com/ipa/A0001729.html

How can I convert the following:
45.2 Km/h into m/s
30.5 m/s into km/h

- A car moves at 18 m/s [E] and experiences a displacement of 450 m [ E]. How long did this trip take?

How can I solve these?

- A batmobile is moving with a constant velocity toward the north. Batman decides to slow down. In what direction will his acceleration be?

-An airplane accelerates from 82 m/s [E] to 95 m/s [E] in 6.5 seconds.
>Calculate the acceleration of the airplane.
>Write a sentence that descrives this motion

-A speedboat accelerates at 4.80 m/s(squared) [N] and reaches a final velocity of 32.6 m/s(squared) [N] in 2.31 s. What was the initial velocity of the boat?

If you guys know any websites that can help me look at motion formulas like velocity, displacement, acceleration, vectors...scales... explaining how to do them please post

Thanks

 

[m2003]

To convert Km/h to m/s, we can use the conversion factor of 1 km/h = 0.2778 m/s. So, 45.2 Km/h = 45.2 x 0.2778 = 12.55 m/s. Similarly, to convert m/s to km/h, we can use the conversion factor of 1 m/s = 3.6 km/h. So, 30.5 m/s = 30.5 x 3.6 = 109.8 km/h.

To solve the given problem, we can use the formula: Time = Distance/Velocity. Plugging in the given values, we get: Time = 450 m/18 m/s = 25 seconds. Therefore, the trip took 25 seconds.

When Batman slows down, his acceleration will be in the opposite direction of his velocity, which in this case is towards the south.

To calculate the acceleration of the airplane, we can use the formula: Acceleration = (Final Velocity - Initial Velocity)/Time. Plugging in the given values, we get: Acceleration = (95 m/s - 82 m/s)/6.5 seconds = 2 m/s(squared). This means that the airplane's velocity is increasing by 2 m/s every second.

The initial velocity of the boat can be calculated using the formula: Final Velocity = Initial Velocity + Acceleration x Time. Plugging in the given values, we get: 32.6 m/s = Initial Velocity + 4.80 m/s(squared) x 2.31 seconds. Solving for Initial Velocity, we get: Initial Velocity = 32.6 m/s - 4.80 m/s(squared) x 2.31 seconds = 21.5 m/s.

Websites such as Khan Academy and Physics Classroom can provide helpful explanations and examples of motion formulas and concepts. It is also recommended to consult a physics textbook or consult with a physics teacher for further clarification and practice.