Tom kicks a soccer ball on a flat, level field giving it an initial speed of 20 m/s at an angle of 35 degrees above the horizontal. a) how long will the ball be in the air? b) what maximum height will the ball attain? c) how far away from tom will the ball land? d) what speed will the ball have in the instant just before it lands?

(a) 2.34 s

(b) 6.71 m

(c) 38.35 m

(d) 20 m/s

Explanation:

u = 20 m/s, theta = 35 degree

(a) The formula for the time of flight is given by

T = 2.34 second

(b) The formula for the maximum height is given by

H  = 6.71 m

(c) The formula for the range is given by

R = 38.35 m

(d) It hits with the same speed at the initial speed.

i would think it's food chain

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .