let t = 0 be the point at which the car is just starting to drive and the bus is even with the car. Find the other time when the vehicles will be the same distance from the intersection.
To find the other time when the vehicles will be the same distance from the intersection, we can set up a mathematical equation. Let's assume that the car is moving with a constant velocity of Vc (in distance units per time unit) and the bus is moving with a constant velocity of Vb.
Let's say the distance between the intersection and the initial position of the car is D. Since the bus is initially even with the car, the distance between the intersection and the initial position of the bus is also D.
We'll use the formula for distance (D = V * t) to determine the distance traveled by each vehicle after time t.
For the car:
Distance traveled by the car = Vc * t
For the bus:
Distance traveled by the bus = Vb * t
Since the distance to the intersection remains the same for both vehicles even after time t, we can set up the equation:
D + Vc * t = D + Vb * t
By subtracting D from both sides, we get:
Vc * t = Vb * t
Dividing both sides of the equation by t (assuming t is not equal to zero), we get:
Vc = Vb
This equation implies that for both vehicles to be at the same distance from the intersection after time t, their velocities must be equal.
Therefore, to find the other time when the vehicles will be the same distance from the intersection, you need to determine if the velocities of the car and the bus are equal.