A hill is 500 m high. Supplies are to be sent across the hill using a canon that can hurl packets at a speed of 125 m/s over the hill. The canon is located at a distance of 800m from the foot of hill and can be moved on the ground at a speed of 2 m/s; so that its distance from the hill can be adjusted. What is the shortest time in which a packet can reach on the ground across the hill ? Take g =10 m/s2.
A hill is 500 m high. Supplies are to be sent across the hill using a canon that can hurl packets at a speed of 125 m/s over the hill. The canon is located at a distance of 800m from the foot of hill and can be moved on the ground at a speed of 2 m/s; so that its distance from the hill can be adjusted. What is the shortest time in which a packet can reach on the ground across the hill ? Take g =10 m/s2.
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1 Answer
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This is a Long Answer Type Questions as classified in NCERT Exemplar
Explanation- speed of jackets = 125m/s
Height of hill = 500m
To cross the hill vertical component of velocity should be grater than this value uy=
So u2= ux2+uy2
Horizontal component of initial velocity ux =
Time taken to reach the top of hill t=
Time taken to reach the ground in 10 sec = 75 (10)= 750m
Distance through which the canon has to be moved =800-750=50m
Speed with which canon can move = 2m/s
Time taken canon = 50/2= 25s
Total time t= 25+10+10= 45s
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