A police jeep is chasing a culprit going on a motorbike.The motorbike crosses a turning at a speed of 72km/h.The jeep follows it at a speed of 90km/h,crossing the turning 10seconds later than bike . Assuming that they at constant speeds, how far from the turning will be the jeep catch up with the bike.
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Answered by
12
heya frnd
v(culprit)= 20 mps
v(police)=25 mps
Let at t=0 the police has reached the turning point. This means culprit has already travelled an extra distance D.
D=20*10+0
=200m
From now let he be caught after time t and covering distance 's'.so
S=20t
And the distance covered by police in this t time.
S+200=25t
Dividing these 2 equations we get
S÷(S+200) = 4÷5
So s=800m or 0.8km
So it's distance from the turning point will be 800+200=1000m or 1km.
v(culprit)= 20 mps
v(police)=25 mps
Let at t=0 the police has reached the turning point. This means culprit has already travelled an extra distance D.
D=20*10+0
=200m
From now let he be caught after time t and covering distance 's'.so
S=20t
And the distance covered by police in this t time.
S+200=25t
Dividing these 2 equations we get
S÷(S+200) = 4÷5
So s=800m or 0.8km
So it's distance from the turning point will be 800+200=1000m or 1km.
Deekshii1:
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Answered by
7
here relative velocity =25-20=5m/s
and in 10 sec culprit travel 20×10=200m
so relative displacement=200m
so S=relative velocity×t -1/2×at^2
200=5×t -1/2×0
t=200/5
t=40sec
and in 40 sec jeep travel 40×25=1000m
and in 10 sec culprit travel 20×10=200m
so relative displacement=200m
so S=relative velocity×t -1/2×at^2
200=5×t -1/2×0
t=200/5
t=40sec
and in 40 sec jeep travel 40×25=1000m
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