A man runs across the roof-top of a tall building and jumps horizontally with the hope of landing on the roof of the next building which is of a lower height than the first. If his speed is 9 m/s, the distance between the two buildings is 10 m and the height difference is 9 m, will he be able to land on the next building?

The angles of depression of the top and the bottom of an 8 m tall building from the top of a multi-storeyed building are 30^@ and 45^@ , respectively. Find the height of the multi-storeyed building and the distance between the two buildings.

From the top of a building 15 m high, the angle of elevation of the top of a tower is found to be 30^@ . From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower and the distance between the tower and the building.

A kite is moving horizontally at a height of 141.5 m. If the speed of kite is 10 m/s, how fast is the string being let out when the distance (direct) between the kite and the boy (who is flying it) is 250 m? The height of the boy is 1.5 m.

The angles of elevation and depression of the top and bottom of a light-house from the top of a building 60 m high are 30^@ and 60^@ respectively. Find the difference between the heights of the light-house and the building

A 1.5 m tall boy is standing at some distance from a 30 m tall budding. The angle of elevation from his eyes to the top of the building increasesfrom 30^@ to 60^@ as he walks towards the building. Find the distance he walked towards the building.

From a point P on the ground the angle of elevation of the top of a 10 m tall building is 30^@ .A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45^@ . Find the length of the flagstaff and the distance of the building from the point P. (You may take sqrt3 = 1.732)

Two buildings are 45 m apart. With what velocity must a ball be thrown horizontally from a window 50 m above the ground in one building so that it enters a window 5.9m above the gorund in the other builing.

A man is standing on top of a building 100 m high. He throws two balls vertically, one at t = 0 and other after a time interval (less than 2 s). The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is 15 m at t = 2 s. The gap is found to remain constant. The velocities with which the balls were thrown.

On a long horizontally moving belt (Fig. 3.26), a child runs to and fro with a speed 9 km h^-1 (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of 4 km h^-1 . For an observer on a stationary platform outside, what is the:- time taken by the child in (a) and (b) ? Which of the answers alter if motion is viewed by one of the parents ?

The earth’s surface has a negative surface charge density of 10^-9 C m^-2 . The potential difference of 400 kV between the top of the atmosphere and the surface results (due to the low conductivity of the lower atmosphere) in a current of only 1800 A over the entire globe. If there were no mechanism of sustaining atmospheric electric field, how much time (roughly) would be required to neutralise the earth’s surface? (This never happens in practice because there is a mechanism to replenish electric charges, namely the continual thunderstorms and lightning in different parts of the globe). (Radius of earth = 6.37 xx 10^6 m .)