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CBSE Class 11-science Answered

A passenger is standing at a distance d meters from a bus. The bus begins to move with a constant acceleration a. To catch the bus, the passenger runs at constant speed u towards the bus. What should be the minimum speed of the passenger so that he may catch the bus?
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Assuming that the passenger manages to catch the bus after time t.

Then, the distance traveled by the bus during that time,
=
And the distance traveled by the passenger
Passenger will be able to catch the bus if and only if,
Total distance traveled by the passenger=the distance traveled by the bus + initial distance of separation between the two that is,

d + x1 = x2
On substitution, we get
Transposing and solving for time t,
 assuming time t to be positive and non zero.
 so
The minimum speed of the passenger for catching the bus is =1.414m/s.  The person will catch the bus.

Answered by | 04 Jun, 2014, 03:23: PM

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