Physics
posted by Lindsay .
At the instant a traffic light turns green, a car starts moving with a constant acceleration a of 3.05 m/s^2. At the same time a truck, traveling with a constant speed of 10.15 m/s, overtakes and passes the car. How far beyond the traffic light will the car overtake the truck? What will be the speed of the car at that instant?
This problem really confuses me. Are there certain steps I need to take in order to get the right answer?

Physics 
bobpursley
They both travel the same distance, in the same time.
Car:
d= 1/2 3.05 t^2
Truck
d= 10.15t
set these equal, and solve for time. 
Physics 
Lindsay
What exactly do you mean by "set them equal?"

Physics 
manny
"Set them Equal"
1/2 3.05 t^2 = 10.15t 
Physics 
Lindsay
Ok, the time I got was 2.624 s.
Now what? 
Physics 
bobpursley
use that time to find the distance the car went, and its velocity.

Physics 
Lindsay
Which equation am I using for distance?

Physics 
bobpursley
d=1/2 a t^2, as above.

Physics 
Lindsay
Right. I plug in "1/2 x 3.05 x (2.58^2") and come out with 10.15 m.
But that's obviously not correct.
I know I'm doing something wrong, but I'm just not sure what. I'm sorry...this just isn't making much sense yet. 
Physics 
bobpursley
1/2 3.05 * t^2= 10.15t
t^2= 2*10.15t/3.05 divide through by t,
t= 6.66seconds
d= 1/2 a t^2 or d= 10.15t 
Physics 
Lindsay
Ohhh ok I see my mistake!
Thanks for your patience. :) 
Physics 
nn
how u got the time
Respond to this Question
Similar Questions

Physics
The instant a traffic light turns green a car that has been waiting at the light starts forward with a constant acceleration of 10 ft/s^2. At the same instant a truck traveling at a constant 30 ft/s overtakes and passes the car. 1. … 
Physics
As a traffic light turns green, a waiting car starts with a constant acceleration of 6.0 m/second squared. At the instant the car begins to accelerate, a truck with the constant velocity of 21 m/ second squared passes in the next lane. … 
physics
As a traffic light turns green, a waiting car starts with a constant acceleration of 6.0 m/s^2. At the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane. A)How far will the car … 
physics
At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.3 m/s2. At the same instant a truck, traveling with a constant speed of 9.4 m/s, overtakes and passes the automobile. (a) How far … 
Physics
At the instant a traffic light turns green, a car starts with a constant acceleration of 1.8 m/s(squared). At the same instant, a truck travelling at a constant velocity of 8.5 m/s passes the car. How far beyond the starting point … 
physics
At the instant a traffic light turns green, a car starts moving with a constant acceleration a of 4.00 m/s2. At the same instant a truck, traveling with a constant speed of 10.09 m/s, overtakes and passes the car. How far beyond the … 
Physics
At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 2.85m/s^2. At the same instant a truck, traveling with a constant speed of 19.0m/s, overtakes … 
Physics
At the instant a traffic light turns green, an automobile that has been waiting at an intersection starts moving forward with a constant acceleration of 2.00m/s(squared). At the same time a truck traveling with a constant speed of … 
Physics
At the instant a traffic light turns green, an automobile that has been waiting at an intersection starts moving forward with a constant acceleration of 2.00m/s(squared). At the same time a truck traveling with a constant speed of … 
physics
At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2.10m/s2 . At the same instant, a truck, traveling with a constant speed of 15.1m/s , …