A stuntman plans to run across a roof top and then horizontally off it to land on the roof of next bulding. The roof of the next building is 4.9 metre below the first one and 6.2 metre away from it. What should be his minimum roof top speed in m/s. so that he can successfully make the jump?

A man runs across the roof-top of a tall building and jumps horizontally with hope of landing on the roof fo the bext building which is at a lower height than the first. If his speed is 9 m//s ,the (horizontal ) destanc hetween the two buildings is 10 m and height difference is 9 m , will he be able to land on the bext building ? (taken g=10 m//s^(2)).

The pilot of an aircraft, who is not tied to his seat, can loop a verticle circle in air without falling out at the top of the loop . What is the minimum speed required so that he can successfully negotitate a loop of radius 4 km ? (g=10 m//s^(2))

When one looks from the foot and the top of a tower from the roof of a building, the angles of elelvation and depression are of 63^@ and 27^@ respectively. If the height of the building is 20 metres, find the height of the tower. (tan 63^@ = 2)

An inquistive student, determined to test the law of gravity for himself, walks to the top of a building og 145 floors, with every floor of height 4 m, having a stopwatch in his hand (the first floor is at a height of 4 m from the ground level). From there he jumps off with negligible speed and hence starts rolling freely. A rocketeer arrives at the scene 5 s later and dives off from the top of the building to save the student. The rocketeer leaves the roof with an initial downward speed v_0 . In order to catch the student at a sufficiently great height above ground so that the rocketeer and the student slow down and arrive at the ground with zero velocity. The upward acceleration that accomplishes this is provided by rocketeer's jet pack, which he turns on just as he catches the student, before the rocketeer is in free fall. To prevent any discomfort to the student, the magnitude of the acceleration of the rocketeer and the student as they move downward together should not exceed 5 g. What should be the initial downward speed of the rocketeer so that he catches the student at the top of 100 the floor for safe landing ?

A man of mass m having a bag ofmas m slips from the roof of atall building of height H and starts falling vertically figure. When at a height h from the ground, he notices that the ground below him is pretty hard but there is a pond at a horizontal distnce x from the line of fall. In order to save himself he throws the bag horizontally (with respect to himself) in the direction opposite to the pond. Calculate the minimum horizontal velocity imparted to the bag so that the man lands in the water. If the man just suceeds toavoid the hard ground, where will the bag land?

Jimmy is doing an experiment to measure the height of a tall building. He drops awatermelon from the roof the building. 3.0 s later he hears the watermelon splash sound. What height of the building he had calculated. Take speed of soimd 340 m/s and air resistance, on water melon can be neglected. Take g = 10 m//s^(2)

a. A rail road flat car of mass M can roll without friction along a straight horizontal track . Initially, a man of mass m is standing on the car which is moving to the right with speed v_(0) . What is the change in velocity of the car if the man runs to the left so that his speed relative to the car is v_(rel) just before he jumps off at the left end? b. If there are n men each of mass m on the car, should they all run and jump off together or should they run and jump one by one in order to give a greater velocity to the car?