EXAMPLE 6 A projectile is fired with muzzle speed 170 m/s and an angle of elevation 45° from a position 20 m above ground level. Where does the projectile hit the ground and with what speed? SOLUTION If we place the origin at ground level, then the initial position of the projectile is (0, 20) and so we need to adjust the parametric equations of the trajectory by adding 20 to the expression for y. With v0 = 170 m/s, α = 45°, and g = 9.8 m/s2, we have

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

What is the range of the function? f(x)=-2|x+1|? a. all real numbers. b. all real numbers less than or equal to 0. c. all real numbers less than or equal to 1. d. all real numbers greater than or equal to 1

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.