a 100m long train at 15m/s overtakes a man at the platform in the same direction in 10s . how long train will take ti cross the man if he was running in opposite direction?
Urgent need please help !!!!!
Answers
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Concept:
A vector measurement of the rate and direction of motion is what is meant by the term "velocity." It is formulated as- velocity = distance / time.
Given:
Length of train = 100m
Speed of train = 15m/s
t = 10secs
Find:
We need to determine the time taken by the train to cross the man if he was running in the opposite direction.
Solution:
The term "velocity" refers to a vector measurement of the rate and direction of motion.
We know that v_tm = v_t + v_m where v_tm is the total velocity of train and man, v_t is the velocity of train and v_m is the velocity of man.
v_tm = 15 - v_m
A vector measurement of the rate and direction of motion is what is meant by the term "velocity." It is mathematically expressed by the formula- velocity = distance/time.
Rearranging it becomes- distance = velocity × time
100 = (15 - v_m) × 10
Therefore, v_m = 5m/s
Since, the man was running in the opposite direction of the train
Therefore, 100 = (15 + v_m) × t
100 = (15 + 5) × t
Therefore, t = 100 / 20
t = 5secs
Thus, the train will take 5 secs to cross the man if he was running in the opposite direction of the train.
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