You throw a ball upwards with a speed of 5.0 m/s from a height of 2.0 m above the ground. It flies straight upwards, falls back down, and then hits the ground at your feet. You know that when objects are flying through the air, the earth's gravity causes them to accelerate at 9.8 m/s^2, and this acceleration pulls things down.
(a) Draw a side view of you throwing the ball at time t = 0 when the ball is just leaving your hand. Sketch in a dashed line showing the path of the ball as it flies up from your hand and then down to the ground. Finally, draw in a coordinate system where the origin is on the ground below the ball, and with +y direction pointing up. Because we chose the +y direction pointing up and the acceleration of gravity pulls things down, a = -9.8 m/s^2 with this coordinate system choice.
(b) What is the velocity of the ball when it reaches the highest point of its motion (this is called the apex of the motion)? How do you know?
(c) How high above the ground is the apex of the motion? Begin by filling in the variable list for the motion from your hand up to the apex:
Y = _____
Yo = _____
V = _____
Vo = _____
a = _____
t = _____
Height above ground = _______________
(d) How many seconds does it take the ball to go from your hand to the ground? Begin filling in the variable list for the motion from your hand to the ground:
Y = _____
Yo = _____
V = _____
Vo = _____
a = _____
t = _____
Time from hand to ground = _______________
Please show complete steps. Thank you!