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 
over the hill. The canon is located at a distance of 800 m from the foot of hill and can be moved on the ground at a speed of 
; 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, 
)
Text Solution
Verified by ExpertsD
Given, speed of packets 
Height of the hill 
.
To cross the hill, the vertical component of the velocity should be sufficient to cross such height.
But 
Horizontal component of initial velocity,
Time taken to reach the top of the hill,
Time taken to reach the ground from the top of the hill
Horizontal distance travelled in 10 s
Distance through which canon has to be moved
Speed with which canon can move 
Time taken by canon 
Total time taken by a packet to reach on the ground
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems