Question
A ball is dropped from a height of 120 metres. After each
bounce, it rises to one-fourth of the height from which it fell. What is the total distance the ball travels before coming to rest?Solution
Distance travelled in 1 st  fall = 120 m
Height to which the ball will rebound in 1 st  fall = 120/4 = 30 metres
Height to which the ball rebounds in 2 nd  fall = 30/4 = 7.5 metres
Therefore, distance travelled by ball = 120 + 30 + 30 + 7.5 + 7.5……. upto infinity
= 120 + 2 × (30 + 7.5 + up to infinity)
= 120 + 2 × 30/{1 – (1/4)} [sum of infinite G.P. = a/(1 – r)]
= 120 + 60 × 4/3 = 120 + 80 = 200 metres
Kanhar Irrigation Project is constructed to irrigate the districts of
Which river basin is the largest in area among the following?
The Union government and the Asian Development Bank (ADB) have signed a loan agreement to enhance fintech education in which city?
Which joint venture produced and transferred 35,000 Kalashnikov AK-203 assault rifles to the Indian Ministry of Defence?
The "Xtra Credit Card" launched by RBL Bank offers cashback on fuel purchases with which company?
On July 1st, 2024 the state Haryana has introduced how many new criminal laws by replacing the old ones?Â
Which of the following is the largest satellite of the Solar System?
SANKALP Scheme is one of the important skill development programme sponsored by_______
According to 2011 census, what is the percentage of population that lives in rural areas of Uttar Pradesh?
During Quit India Movement in Uttar Pradesh, Provisional Government was formed in Ballia under the leadership of?
Relevant for Exams:
