Roller Coaster at an amusement park is `(2)/(3)` m high. If a new roller coaster is built that is `(3)/(5)` times the height of the existing coaster, what will be the height of the new roller coaster?

A hill, 101(1/3) m in height, has 1/4 th of its height under water. What is the height of the hill visible above the water?

The length of a wall is 5/4 times of its height. If the area of the wall be 180 m^(2) . What is the sum of the length and height of the wall ?

A small roller coaster starts at point A with a speed u on a curved track as shown in the figure The friction between the roller coaster and the track is negligible and it always remains in contact with the track. The speed of roller coaster at point D on the track will be

Explain how the apparent weight of a person, taking a ride in a roller-coaster varies.

Directions (Questions 508 to 509): These questions are based on the following information: 85 children went to an amusement park where they could ride on merry-go-round, roller coaster and Ferris wheel. It was known that 20 of them took all the three rides and 55 of them have taken at least two of the three rides. Each ride costs Re 1, and the total receipt of the amusement park was Rs 145. How many children took exactly one ride? (a) 5 (b) 10 (c) 15 (d) 20

The volume of a wall , 3 times as high as it is broad and 8 times as long as it is high, is 36.864 m^(3) . The height of the wall is :

The length of the shadow of a 3-m high pole at a certain time the day is 3.6 m .What is the height of another pole whose shadow at that time is 54 m long?