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

• brendanmeneze
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.f

#### brendanmeneze

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

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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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

537/100s

Hi brendanmeneze! Welcome to PF! 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? Anyway, after 4 seconds, he gains 5(1 + 1.5 + 2.25 + 3.375) = over 40 metres.

Have I understood the question right? 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.

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