Problems 1-2 refer to the following information.
The kinetic energy of an object is given by ½mv^{2}, where m is the mass of the object v is its velocity.
Problem 1 :
If the kinetic energy of a moving tennis ball is doubled, its velocity must have increased by what factor?
A) 4
B) 2
C) √3
D) √2
Solution :
Problem 2 :
A radioactive element loses 15% of its mass and 20 percent of its velocity. By what percent has its kinetic energy decreased?
A) 32%
B) 36.2%
C) 24.8%
D) 45.6%
Solution :
Problem 3 :
In rectange ABCD above E is on DC, F is on BC, DE = 6 and FC = 1. If angle A is trisected (divided into three equal angles) by AE and AF, what is the length of BF?
A) 5
B) 5√2 - 1
C) 5√3 - 1
D) 6√3 - 1
Solution :
Problem 4 :
x - 3y = 4
2(x - 1) - 6(y + 2) = -6
How many solutions (x, y) are there to the system of equations above?
A) Zero
B) One
C) Two
D) More than two
Solution :
Problem 5 :
Gracie regularly buys six different items at the grocery store. The average price of the items is $30. The prices of five of the items are $7, $25, $36, $40, and $44. What is the price of the sixth item?
Solution :
Digital SAT Problems and Solutions (Part - 1)
Digital SAT Problems and Solutions (Part - 2)
Digital SAT Problems and Solutions (Part - 3)
Digital SAT Problems and Solutions (Part - 4)
Digital SAT Problems and Solutions (Part - 5)
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