Plot a speed-time graph of a car A traveling at a uniform speed of 80km/hr on the same graph plot the speed-time graph of 2nd car B starting from rest and uniformly accelarating through a maximum speed of 80km/hr
a) what relations do you find between the distance covered by the 2 cars during the time in which the second car is accelarating ?
b) would this relation hold if you choose a different accelaration for 2nd car?
jai sri ram bahadur lal ki
sab maja ma
To plot the speed-time graph for Car A, since it is traveling at a uniform speed of 80 km/h, the graph will be a straight line parallel to the time axis at a height of 80 km/h.
To plot the speed-time graph for Car B, we need to consider that it starts from rest and uniformly accelerates to a maximum speed of 80 km/h.
To plot this graph, we will use the equation:
speed = initial speed + acceleration × time
For Car B, the initial speed is 0 km/h and the maximum speed is 80 km/h. Let's assume Car B takes time 't' to reach its maximum speed.
So, the graph of Car B will start from rest (0 km/h) and steadily increase in a straight line until it reaches 80 km/h at time 't'.
a) The relation between the distance covered by the two cars during the time in which the second car is accelerating can be found using the concept of uniform acceleration.
We know that the distance covered when the acceleration is uniform can be determined using the equation:
distance = initial velocity × time + (1/2) × acceleration × time^2
For Car B, the initial velocity is 0 km/h, the final velocity is 80 km/h, and the time taken to reach the final velocity is 't'.
Therefore, the distance covered by Car B during the time it is accelerating can be calculated using the equation above.
b) If we choose a different acceleration for Car B, it will affect the relation between the distances covered by the two cars. The distance covered by Car B during the time it is accelerating will vary depending on the chosen acceleration.
By changing the acceleration, we will change how quickly Car B reaches its maximum speed. A higher acceleration will result in a shorter time to reach the maximum speed, while a lower acceleration will result in a longer time.
This means that the distance covered by Car B during acceleration will be different depending on the chosen acceleration. Therefore, the relation between the distances covered by the two cars will not hold if we choose a different acceleration for Car B.