How did M.Hammel bid farewell to his students and the people of the village?

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. Just as the student starts his free fall, he presses the button of the stopwatch. When he reaches at the top of 100th floor, he has observed the reading of stopwatch as 00:00:06:00. 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 student is running at her top speed of 5.0 m s^(-1) , to catch a bus, which is stopped at the bus stop. When the student is still 40.0m from the bus, it starts to pull away, moving with a constant acceleration of 0.2 m s^(-2) . a For how much time and what distance does the student have to run at 5.0 m s^(-1) before she overtakes the bus? b. When she reached the bus, how fast was the bus travelling? c. Sketch an x-t graph for bothe the student and the bus. d. Teh equations uou used in part (a)to find the time have a second solution, corresponding to a later time for which the student and the bus are again at thesame place if they continue their specified motions. Explain the significance of this second solution. How fast is the bus travelling at this point? e. If the student s top speed is 3.5 m s^(-1), will she catch the bus? f. What is the minimum speed the student must have to just catch up with the bus?For what time and what distance dies she have to run in that case?

"What was Chipko Andolan"? How did this Andolan ultimately benefit the local people and the environment ?

Ram used to live in a remote village of Rajasthan which didn’t have electricity. He was a good student and studied very hard to become an engineer in spite of all hardships. While studying, he came to know that solar energy can be converted to electrical energy by using specially designed devices. He went to his village and discussed it with villagers. He also told them that Govt. also gives subsidy for using solar devices. All the villagers agreed and they contacted the Govt. officials who obliged their request and the village became the model village which used solar energy for electricity. (iii) Why is solar energy a batter source of energy?

Class XI students of a school wanted to give a farewell party to the outgoing students of class XII. They decided to purchase two kinds of sweets, one costing 250 per kg and the other costing 350 per kg. They estimated that 40 kg of sweets were needed. If the total budget for the sweets was 11,800, find how much sweets of each kind were bought?

The Math teacher has to give 5 worksheets to each student in her class. She finds that she has 2 worksheets less than what she needs. If the number of students in the class is f, how many worksheets did the teacher have with her?

The following bar graph (Figure) represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions: What percentage of the total number of students have their heights more than 149 cm? How many students in the class are in the range of maximum height of the class? The school wants to provide a particular type of tonic to each student below the height of 150cm to improve his height. If the cost of the tonic for each student comes out to be Rs. 55, how much amount of money is required? How many students are in the range of shortest height of the class? State whether true or false: There are 9 students in the class whose heights are in the range of 155-159 cm. Maximum height (in cm) of a student in the class is 17. There are 29 students in the class whose heights are in the range of 145-154 cm. Minimum height (in cm) of a student is the class is in the range of 140-144cms. The number of students in the class having their heights less than 150cm is 12. There are 14 students each of whom has height more than 154 cm.

16x=12(x+1/6) Jay V left his house at 2:00 P.M. and rode his bicycle down his street at a speed of 12 mph (miles per hour). When his friend Tamika arrived at his house at 2:10 P.M. , Jay V's mother sent her off in Jay V's direction down the same street , and Tamika cycled after him at 16 mph. At what time did Tamika catch up with Jay V ? The equation above is used to solve this problem . What is the term 12(x+1/6) equal to ?