QS. Ali was swimming along the bottom of his backyard pool at a depth of 6 feet. Then, he
pushed off the bottom and rose 4 feet. What is Ali's position now relative to the surface of
To solve the problem Fatima made this equation 6-4 and came up with an answer
of 2 feet
Is Fatima correct? Why or why not?
Answers
Answer:
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Step-by-step explanation:
We first consider the vertical motion of the stone as it falls toward the water. The initial y velocity component of the stone is
vyi=visinθ=–(4.00m/s)sin60.00=–3.46m/s
and its y coordinate is
yf=yi+vyit+21ayt2=h+(visinθ)t−21gt2
yf=2.50−3.46t−4.90t2
where y is in m and t in s. We have taken the water’s surface to be at y=0. At the water,
4.90t2+3.46t–2.50=0
Solving for the positive root of the equation, we get
t=2(4.90)−3.46+(3.46)2−4(4.90)(−2.50)
t=9.80−3.46+7.81
t=0.443s
The y component of velocity of the stone when it reaches the water at this time t is
vyf=vyi+ayt=–3.46–gt=–7.81m/s
After the stone enters to water, its speed, and therefore the magnitude of each velocity component, is reduced by one-half. Thus, the y component of the velocity of the stone in the water is
vyi=(–7.81m/s)/2=–3.91m/s,
and this component remains constant until the stone reaches the bottom. As the stone moves through the water, its y coordinate is
yf=yi+vyit+21ayt2
yf=−3.91t
The stone reaches the bottom of the pool when yf=–3.00m:
yf=–3.91t=–3.00→t=0.767s
The total time interval the stone takes to reach the bottom of the pool is
Δt=0.443s+0.767s=1.21s
Wanda was a Polish girl in an all American school. She had an unfamiliar name and different looks because of which she was constantly teased by her classmates.
Peggy, Maddie and the other girls used to make fun of her dresses. Wanda used to tell them that she had a hundred dresses and sixty pairs of shoes even though she wore the same faded blue cotton dress everyday. Fed up with her teasing, she left the school and moved to a big city with her family.
Before leaving she had taken part in an art competition in the school. She had submitted about a hundred drawings of designs of dresses. They were so beautiful that every student of her class was amazed. Later, she gifted all her drawings to her classmates inspite of their teasings.
Because of her acts her classmates not only realised their mistakes but were also impressed by her talents. They were filled with love and confidence for Wanda. In this way, Wanda succeeded in winning the love and confidence of her classmates at the end of the story