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Question:

What will be the ratio of speed in the first two seconds to the speed in the next 4 seconds?

1 : 2

2 : 1

√2: 1

3 : 1

Solution:

Magnitude of slope of distance-time graph gives the speed of the particle. Slope of line AB, m1 = BO/AO = x/2. Thus speed in first two seconds, v1 = |m1| = x/2. Slope of line BC, m2 = -BO/CO = -x/4. Thus speed in the next four seconds, v2 = |m2| = x/4. Thus ratio of speed v1/v2 = (x/2)/(x/4) = 2/1