Aparticle whose speed is 50 m/s moves along the line from a(2,1) to b(9,25). find its velocity vector in the form of ai +bj.

To write it in the form ai + bj, we need to find a and b which are:

a = x component

b = y component

length of x = 9 – 2 = 7

length of y = 25 – 1 = 24

tan θ = 24 / 7

θ = 73.74°

a = (50 m/s) cos 73.74

a = 14 m/s

b = (50 m/s) sin 73.74

b = 48 m/s

Hence,

14i + 48j

more than, less

less than, more

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2