Kinematic/Free Fall Tommy Myszka Nick Sraga Mike Jewell Terms • Speed – distance traveled in a period of time • Velocity- distance traveled in a period of time in a certain direction • Instantaneous velocity – how fast you are traveling at a particular time • Acceleration – change in velocity over time Equations • speed = distance time • acceleration = VF-VI time • velocity = displacement time Other important equations • VF2-VI2 = 2ad • ½ at2 + VIt = d Concepts • • • • Initial speed always must be zero Gravity equals -9.8 m/s/s Free fall acceleration equals –9.8 m/s/s As you free fall, your distance per second increases, as does your velocity per second Examples From the Real World #1 Skydiving • As you skydive, you’re free falling toward the earth at – 9.8 m/s/s Examples From the Real World #2 Rain • As the falls it is constantly getting itself a bigger and bigger velocity towards the earth Sample Question • #1 A ball dropped from rest picks up speed 10 m/s. After it falls for 4 seconds, how fast is it going? Givens A=10m/s T= 4sec Equation: a=VF-VI T 10m/s=VF-0 4 40=VF Answer: 40 m/s Sample Question • #2 A ball is thrown straight down with an initial speed of 20 m/s. After 3 seconds how fast is it going? Equation: a=V -V -9.8=V -20 F Givens VI=20m/s t=3 sec a= -9.8m/s2 I T 29.4=VF-20 Answer: 49.4m/s F 3 49.4=VF Sample Question #3 You shoot an arrow straight up at 50m/s. When will it hit the ground? Given VF=0 VI=50m/s a= -9.8 Equation: a=VF-VI T -9.8=0-50 -9.8t = -50 t t= -50 -9.8 Answer: 5.1 Sample Question #4 Wieldy Coyote runs off a 100 meter cliff while chasing the Roadrunner. He begins to freefall. What is his velocity when he hits the ground? Given D=100m a=-9.8 VI=0 Equation: VF2-VI2=2ad VF2-0=2(9.8)100 VF2=1960 VF= 44.2 Answer: 44.2 Quiz Questions #1 A bullet fired horizontally at 650m/s. How far will it go in 1.1 seconds? Answer: 715m #2 A base ball is hit straight up to a height of 40 meters. How fast was the ball moving when it let the bat? Answer: 28 m/s Quiz Questions #3 If a skydiver jumps out of an airplane, and his shoot failed and hits the ground at 50m/s. How high was he when he jump? Answer: 127.5 meters #4 If a person jumps off a 15 meter cliff into water. What is the persons velocity when he hits the water? Answer: 17.15m/s