1. HELP ME!!

so i want to know if anyone can help me with this one:
A car and a motorcycle start at rest and 1000 m apart start toward each other at the same time on a level track. tf the car accelerates at an uniform rate of 3.70 m/s^2 and the motorcycle accelerates at an uniform rate of 4.4 m/s^2. at which position will they pass each other relative to the cars starting point.
i will be so thank full if one help me with this one.
thanks

2. Originally Posted by Lilian Julissa
so i want to know if anyone can help me with this one:
A car and a motorcycle start at rest and 1000 m apart start toward each other at the same time on a level track. tf the car accelerates at an uniform rate of 3.70 m/s^2 and the motorcycle accelerates at an uniform rate of 4.4 m/s^2. at which position will they pass each other relative to the cars starting point.
i will be so thank full if one help me with this one.
thanks
Measure position from the car:

Car: u = 0 m/s, a = 3.7 m/s^2, t = t, s = x.

$x = \frac{1}{2} (3.7)t^2 \Rightarrow t^2 = \frac{2x}{3.7}$ .... (1)

Motorcycle: u = 0 m/s, a = 4.4 m/s^2, t = t, s = 1000 - x.

$x = \frac{1}{2} (4.4)t^2 \Rightarrow t^2 = \frac{2(1000 - x)}{4.4}$ .... (2)

Equate equations (1) and (2) and solve for x.

3. Originally Posted by mr fantastic
Measure position from the car:

Car: u = 0 m/s, a = 3.7 m/s^2, t = t, s = x.

$x = \frac{1}{2} (3.7)t^2 \Rightarrow t^2 = \frac{2x}{3.7}$ .... (1)

Motorcycle: u = 0 m/s, a = 4.4 m/s^2, t = t, s = 1000 - x.

$x = \frac{1}{2} (4.4)t^2 \Rightarrow t^2 = \frac{2(1000 - x)}{4.4}$ .... (2)

Equate equations (1) and (2) and solve for x.
Could you please finish it i don't know how to do it i undestand were u got all that but i can't finish thanks for responding

4. Originally Posted by Lilian Julissa
Could you please finish it i don't know how to do it i undestand were u got all that but i can't finish thanks for responding
You should be the one to finish it .....

Solve the linear equation $\frac{2x}{3.7} = \frac{2(1000-x)}{4.4}$ for x.

Show your working if you get stuck. You might need to go back and review solving linear equations.