+0  
 
+2
33
1
avatar+104 

1. 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.

 

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.

 

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.

 May 13, 2020
 #1
avatar+23575 
+1

The vertical position is given by

yf = yo + vot - 1/2 a t^2        yo = 3   vo = 70 sin 30 = 35 f/s   a = -32.174 ft/s^2

when the ball hits the ground yf= 0    so you have

0 = 3 + 35 t  - 1/2 (32.174)t^2      solve to find t

 

the x component of the velocity is  70 cos 30 = 60.62 f/s

   use the 't' you found above to find the x distance =  60.62 * t

 May 13, 2020

19 Online Users

avatar
avatar