Time to Pass 30m - Joe's Car 4.33s

In summary, Joe gained 5m on the car ahead of him in the first second and as he accelerated he gained 1.5 times as much distance in each second. After 4 seconds, he had gained 40m.
  • #1
brendanmeneze
3
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Joe was driving on the highway a car ahead of him was driving far below the speed limit so he decided to pass. In the first second he gained(gained means to get nearer to something you are chasing) 5m on the car and as he accelerated he gained 1.5 times as much distance in each second as he had the second before. If there was 30 m between joe and the car he was passing then how long did it take him to pass

Correct answer
537/100s


t = 1s
u = s/t=5/1 m/s
a = 1.5 m/s^2



V^2= u^2 +2as

V^2= 5^2+ (2*1.5*2.5)
v = sqrt100=10


v = u + at
10 = 5+ (1.5*t)
10-5=1.5t
t =5/1.5=3.333
t = 3.33+1=4.33 (one second put because of first gained)
 

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  • #2
Welcome to PF!

brendanmeneze said:
Joe was driving on the highway a car ahead of him was driving far below the speed limit so he decided to pass. In the first second he gained(gained means to get nearer to something you are chasing) 5m on the car and as he accelerated he gained 1.5 times as much distance in each second as he had the second before. If there was 30 m between joe and the car he was passing then how long did it take him to pass

Correct answer
537/100s

Hi brendanmeneze! Welcome to PF! :smile:

I don't think this has anything to do with Newton or with constant acceleration.

In the first second, he gains 5
In the second second, he gains 5*1.5
In the third second, he gains 5*1.5^2
In the fourth second, he gains 5*1.5^3.

Can you see a pattern? :smile:

Anyway, after 4 seconds, he gains 5(1 + 1.5 + 2.25 + 3.375) = over 40 metres.

Have I understood the question right? :confused:
 
  • #3
Newtons laws motion

you could right there tinytim butt the answers 5.37 s for 30m you got less seconds 4 for more meters 40m unless the answer given 537/100 is wrong. thank you and i believe you are right because laws of motion don't give right answer.
 
  • #4
brendanmeneze said:
you could right there tinytim butt the answers 5.37 s for 30m you got less seconds 4 for more meters 40m unless the answer given 537/100 is wrong. thank you and i believe you are right because laws of motion don't give right answer.

Yes, I think the answer given is wrong. :frown:

Finish it anyway … can you see the pattern, and get an equation for the distance as a function of time? :smile:
 
  • #5
thanks tiny-tim for helping me out.
 

FAQ: Time to Pass 30m - Joe's Car 4.33s

What is the significance of "30m" in regards to Joe's car?

The distance of 30m is a measure of how far Joe's car traveled.

Why is the time of 4.33 seconds important for Joe's car?

The time of 4.33 seconds is the amount of time it took for Joe's car to pass the distance of 30m.

How was the time of 4.33 seconds measured?

The time was most likely measured using a stopwatch or other timing device.

What factors could have affected the time of 4.33 seconds for Joe's car?

Factors such as the speed of the car, the condition of the road, and any obstacles in the path could have affected the time.

Is the time of 4.33 seconds considered fast or slow for Joe's car?

Without more context, it is difficult to determine if 4.33 seconds is a fast or slow time for Joe's car. It would depend on the type of car and the purpose of the test.

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