A rubber ball is dropped from a height of 8 m onto a flat surface. Each time the ball hits the surface, it rebounds to 50% of its previous height. Find the total distance the ball travels.
a. 16
b. 24
c. 8
d. 32
b. 24
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Solve the problem.At time 
a particle is located at the point (1, 1, 1). It travels in a straight line to the point 
has speed 2 at (1, 1, 1) and constant acceleration 
Find an equation for the position vector r(t) of the particle at time t.
A. r(t) = 
i - 
j - 
k
B. r(t) = 
i - 
j - 
k
C. r(t) = 
i - 
j - 
k
D. r(t) = 
i - 
j - 
k
Solve the problem.Use the fact that sin-1 x = x + 
for |x| < 1 to find the series for cos-1 x.
A. 
- x + 
B. 
- 
C. 
- x + 
D. 
- x - 
Express the function in the form of f?g?h.
 FIGURE 1.png)
Solve the problem using the vector form v = 
[(cos ?)i + (sin ?)j].A weight of 500 lb is supported by a frame made of two rods and hinged at points A, B, and C. Find the forces exerted by the two rods rounded to the nearest pound. 
A. Horizontal rod: 10-lb tension; other rod: 555 -lb compression B. Horizontal rod: 673 -lb tension; other rod: 450-lb compression C. Horizontal rod: 450-lb tension; other rod: 673-lb compression D. Horizontal rod: 555-lb tension; other rod: 747-lb compression