# Distance Travelled: Equation for a,j,p - Solved

• MHB
• Yazan975
In summary: The summary is: In summary, the two riders, Pieter and Jing, will meet when they have traveled the same distance from Pieter's house. This distance can be calculated using the formula d = aj/(j-p), where d is the distance and a is the starting point of Jing. The time it takes for them to meet is a/(j-p) hours.
Yazan975
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The answer is ja/j-p kms but I have no idea how to get there

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let $d$ be the distance Jing rides to the point of catching up

$d-a$ = distance Pieter rides to the same point

$\dfrac{distance}{rate} = time$

time Pieter rides = time Jing rides

$\dfrac{d-a}{p} = \dfrac{d}{j}$

$dj - aj = dp$

$dj - dp = aj$

$d(j-p) = aj$

$d = \dfrac{aj}{j-p}$

Another way: Pieter rides west at p km/hr so after 't' hours he will be pt km from his house.

Jing Jing rides at rides west at j km/hr so after 't' hours he will be jt km from his house. But Jing Jing started "a" km to the west of Pieter's house so after 't' hours Jing Jing will be jt+ a km from Pieter's house.

They meet when they are at the same place so the same distance from Pieter's house: jt= pt+ a. Subtract pt from both sides: jt- pt= a. Factor t out on the left: (j- p)t= a. Divide both sides by j- p: t= a/(j- p).

Jing Jing was riding at j km/hr so he will have ridden aj/(j- p) km.

...aNUTter look-see:

[P]@p...pt...>t

[J]@j....pt+a....>t

## 1. What is the equation for distance travelled?

The equation for distance travelled is d = vit + 1/2at2, where d is the distance travelled, vi is the initial velocity, a is the acceleration, and t is the time.

## 2. How do you calculate acceleration?

Acceleration can be calculated using the equation a = (vf - vi) / t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time.

## 3. What is the significance of the letter 'j' in the distance travelled equation?

The letter 'j' represents the acceleration due to gravity (9.8 m/s2) in the equation for distance travelled.

## 4. How do I solve for distance travelled when given acceleration and time?

To solve for distance travelled in this scenario, use the equation d = 1/2at2, where d is the distance travelled, a is the acceleration, and t is the time.

## 5. Can the equation for distance travelled be used for any type of motion?

Yes, the equation for distance travelled can be used for any type of motion as long as the acceleration remains constant.

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