Agolfer tees off and hits a golf ball at a speed of 31 m/s and an angle of 35 degrees. how far did the ball travel before hitting the ground (answer) meters

Ans: R = Ball Travelled = 92.15 meters.

Explanation:
First we need to derive that formula for the "range" in order to know how far the ball traveled before hitting the ground.

Along x-axis, equation would be:


Since there is no acceleration along x-direction; therefore,


Since  and =0; therefore above equation becomes,

--- (A)

Now we need to find "t", and the time is not given. In order to do so, we shall use the y-direction motion equation. Before hitting the ground y ≈ 0 and a = -g; therefore,

=> 
=> 

Since ; therefore above equation becomes,


Put the value of t in equation (A):

(A) => 

Where x = Range = R, and ; therefore above equation becomes:

=> 

Now, as:


and °
and g = 9.8 m/(s^2)

Hence,


Ans: R = 92.15 meters.

-i

By dividing you can find the answer