A ball is thrown at 40o above the horizontal. The ball is in the air for 4 seconds before it hits. If it travels 38.6 meters before it hits the ground, what was the initial velocity of the ball?
What equaitions should I use to solve this?
Thanks!
The HORIZONTAL component of the initial velocity does not change (ignoring air friction or other outside forces).
The Horizontal component is given by
vo cos 40 where vo= original velocity
Wed are given that in FOUR seconds it travels 38.6 meters which is a horizotal component of 38.6/4 = 9.65 m/s
Now set these to quantities = to each other and solve for vo
vo cos 40 = 9.65
vo = 9.65 / (cos 40) = 12.597 m/s