Question

Aurora hit a baseball with an initial velocity of 70 feet per second at an angle of 30° with the horizontal. The ball hit her bat when the ball was 3 feet above the ground.
Part A: No one interferes with the ball. How long does it take the ball to hit the ground?
Round your answer to the nearest hundredth of a second. Show all your work.
Part B: How far did the ball travel horizontally? Use your answer from Part (a) in your calculations. Round your answer to the nearest tenth of a foot. Show all your work.

(Please don't answer unless you have *All The Right Answers!* Please, don't just answer with nonsense, I'm looking at you brainly bot's)

Answer 1

Answer:

See below

Step-by-step explanation:

Y component of velocity is 70 sin 30°

y position =   3  + 70 sin 30°  * t    - 1/2 a t^2

 when the ball hits the ground  y = 0

       0 = 3 + 70 sin 30°  t  - 1/2 (32.2)t^2

           - 16.1 t^2 + 35t + 3 = 0  

                    Use Quadratic Formula to find t = 2.26 seconds

Horizontal component of initial velocity

 70 cos 30°             distance horizontal = 70 cos 30°  * t

                                   = 70 cos 30°  (2.26) = 137.0 ft