The height of an object dropped from a height of 400 ft is given by s(t) = -16t² + 400, where t is in seconds after the object is released. Find the velocity of the object when it hits the ground.

A) –5 ft/s B) 5 ft/s C) –160 ft/s D) 160 ft/s


C) –160 ft/s

Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (cosh t)i + (sinh t)j + tk 

A. T = (tanh t)i  + j  + (sech t)k; N = (sech t)i  - (tanh t)k 
B. T = -  (tanh t sech t)i  + j  + (sech t)k; N = (-sech t)i  - (tanh t)k 
C. T = (tanh t sech t)i  + j  + (sech t)k; N = (sech2 t)i  - (sinh t)k 
D. T = - (tanh t)i  + j  + (sech t)k; N = (-sech t)i  - (sinh t)k 

Mathematics

Solve the problem by using addition, subtraction, multiplication, or division as needed.At the beginning of the year, Mr. Ito put $4806 in the bank. At the end of the year $941 in interest had been earned. How much money was in the account at the end of the year?

A. $3865 B. $4,522,446 C. $5747 D. $5758

Mathematics

Multiply.4a ? 2a2

A. 8a4 B. 8a3 C. 6a3 D. 4a + 2a2

Mathematics

Write the ratio using the word form, the colon form, and the fraction form in lowest terms. 52 red marbles to 80 blue marbles

A. 80 to 52; 80 : 52;  
B. 80 to 52; 80 : 52;  
C. 52 to 80; 52 : 80;   
D. 52 to 80; 52 : 80;   

Mathematics