A car traveling 90km/h is 100m behind a truck traveling 75km/h. How
long will it take the car to reach the truck?
which one of newtons 4 equations should be used in order to solve this equation?
V=Vo + at
X=Xo + Vot + 1/2 at2
V2= Vo2 + 2a(X-Xo)
_
V=V+vo/2
any help i can get is good...thankyou :)
Think about this.
distance = rate x time.
Truck: d = 75t. Solve for t = d/75
Car: started behind by 100 m which is 0.1 km so d+0.1 = 100t. Solve for t = (d+0.1)/100.
Now we know that the time for the car and the time for the truck are equal so set the times = to each other.
d/75 = (d+0.1)/100
Solve for d and d+0.1 and plug those back into the original equations above to find time. Post your work if you get stuck. Check my thinking.
Well to be perfectly honest, i just started taking physics so im only up to the level where to me d=d and not rate x time....i am totally lost at what u did, but its ok, thanks for your help anyway, i think i understand a bit more now.
what happend 2 ur mobile? i was trying 2 call u but i got this msg: welcome 2 D jungle network,D monkey u r tring 2 call is on tree plz try later.
To solve this problem, you will need to use the equation that relates displacement, initial velocity, final velocity, and time, which is:
X = Xo + Vot + 1/2 at^2
In this equation:
- X represents the displacement (distance traveled).
- Xo represents the initial displacement (starting position).
- Vo represents the initial velocity (starting speed).
- t represents the time taken.
- a represents the acceleration.
In this case, the car is traveling at a constant speed of 90 km/h, and the truck is traveling at a constant speed of 75 km/h. The car is initially 100 meters behind the truck, so Xo = -100m. The initial velocity of the car is 90 km/h and the initial velocity of the truck is 75 km/h. The acceleration of both vehicles is zero since they are traveling at constant speeds.
Therefore, the equation becomes:
X = -100 + (90/3.6)t + 0.5(0)t^2
To find the time it takes for the car to reach the truck, you need to solve this equation for t. Notice that the velocities are converted from km/h to m/s by dividing by 3.6, since the SI unit for velocity is meters per second (m/s).
Simplifying the equation, we get:
X = -100 + 25t
Since the car will reach the truck when X = 0 (attain the same position), we can set the equation to zero:
0 = -100 + 25t
Solving for t, we get:
25t = 100
t = 4 seconds
Therefore, it will take the car 4 seconds to reach the truck.