Q:

Arianna kicks a soccer ball off the ground and into the air with an initial velocity of 42 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach? 1.3 ft 2.6 ft 26.0 ft 27.6 ft

Accepted Solution

A:
Answer:Option D.Step-by-step explanation:Arianna kicks a soccer ball into the air with an initial velocity = 42 feet per secondIf the starting height of the ball is 0 feet then we have to find the approximate maximum height the soccer ball attached.Since we know vertical motion is represented by v² = u² - 2ghWhere v = final velocity of the objectu = initial velocity of the objectg = gravitational forceh = h = maximum height achieved by the objectHere v = 0, u = 42 feet per second and g = 32 feet per second²Now we plug in these values in the formula0 = (42)² - 2(32)(h)1764 = 64h[tex]h=\frac{1764}{64}[/tex]h = 27.56 feet   ≈ 27.60 feetTherefore, maximum height achieved by the soccer ball is 27.6 feet.Option D is the answer.