Two cars, a Porsche and a Honda, are traveling in the same direction, although the Porsche is 184 m behind the Honda. The speed of the Porsche is 23.9 m/s and the speed of the Honda is 17.9 m/s. How much time does it take for the Porsche to catch the Honda? [Hint: What must be true about the displacements of the two cars when they meet?]
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Hey!
Here’s the entire answer to your question.
Let’s first identify the values we’re given:
d = distance Porsche is behind Honda = 184 m
V = speed of Porsche = 23.9 m/s
v = speed of Honda = 17.9 m/s
The “hint” in the problem asks what must be true about the displacements of the cars when they meet? Well, the displacements must be EQUAL if they meet:
displacement of Honda = displacement of Porsche
or
d(Honda) = d(Porsche)
Now let’s figure out what these displacements are. Assume that the INITIAL position of the Porsche is d = 0. Then:
d(Honda) = d + v*t
d(Porsche) = V*t
Now we equate these two values:
d + v*t = V*t
Here t = time, which is what we’re solving for. Rearranging terms to solve for t:
t = d / (V-v)
= 184 m / (23.9 m/s – 17.9 m/s)
= 30.66 seconds
So the Porsche will catch up to the Honda in 30.66 seconds. That’s your answer!
anaGah.
The basic formula would be vp * t = vh * t + x
Rewrite as t = x / (vp – vh) = 184 / (23.9 – 17.9) = 184 / 6 = 30.6 seconds.
Tiempo de alcance:
Ta = d / ( V1 – V2)…………………( V1 > V2 )
Ta = 184 / (23,9 – 17,9) = 30,67s
Suerte!!! consultas:
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Between me and my husband we’ve owned more MP3 players over the years than I can count, including Sansas, iRivers, iPods (classic & touch), the Ibiza Rhapsody, etc. But, the last few years I’ve settled down to one line of players. Why? Because I was happy to discover how well-designed and fun to use the underappreciated (and widely mocked) Zunes are.
If you’re still on the fence: grab your favorite earphones, head down to a Best Buy and ask to plug them into a Zune then an iPod and see which one sounds better to you, and which interface makes you smile more. Then you’ll know which is right for you.
I’ll gear this review to 2 types of people: current Zune owners who are considering an upgrade, and people trying to decide between a Zune and an iPod. (There are other players worth considering out there, like the Sony Walkman X, but I hope this gives you enough info to make an informed decision of the Zune vs players other than the iPod line as well.)