A racecar accelerates along a straight track. It reaches 160 km/hr when it is 0.4 km from the start. It maintains the same speed until it is 1.6 km from the start. What is the displacement of the car during the time that it goes 160 km/hr?
D = d2 - d1 = 1.6 - 0.4 = 1.2km.
To find the displacement of the car during the time it is traveling at a speed of 160 km/hr, we need to determine the difference in position between the car's starting point and its position when it reaches 1.6 km from the start.
Given that the car maintains a constant speed of 160 km/hr, we can use the formula for distance (or displacement) traveled at a constant speed: distance = speed × time.
First, let's calculate the time it takes for the car to travel from 0.4 km to 1.6 km. We can use the formula:
time = distance / speed
The distance is the difference in position (1.6 km - 0.4 km) and the speed is 160 km/hr:
time = (1.6 km - 0.4 km) / 160 km/hr
Simplifying the equation:
time = 1.2 km / 160 km/hr
Converting kilometers into hours:
time = 0.0075 hr
Now that we know the time it takes for the car to travel from 0.4 km to 1.6 km, we can calculate the displacement using the formula:
displacement = speed × time
The speed is 160 km/hr and the time is 0.0075 hours:
displacement = 160 km/hr × 0.0075 hr
Calculating the displacement:
displacement = 1.2 km
Therefore, the displacement of the car during the time it goes 160 km/hr is 1.2 km.