Aim: How do we use Newton’s equation of Motion to explain free fall?
Free Fall On Earth, all objects accelerate downwards at -9. 8 m/s 2 regardless of mass.
Acceleration due to gravity on the moon On the moon, all objects accelerate at -1. 6 m/s 2 downward.
Thought Question Where could you jump higher, on the Earth or Moon? Write a sentence answering the question and explaining why. The Moon because it has a lower acceleration due to gravity.
Example 1 - Body dropped from rest. A basketball is dropped from a building that is 45 m tall. a) Calculate the time it takes the basketball to hit ground. b) Calculate the velocity with which the object strikes ground. a) 3 s d=vit+1/2 at 2 d=45 m, vi =0 m/s, a=9. 8 m/s 2 b) 29. 4 m/s vf=vi+at
Problem 2 Curious George drops from a fourth-story window 15. 0 m above the ground. a) How long does it take George to hit the ground? 1. 74 s b) With what velocity does George strike the ground? 17. 14 m/s
Problem 3 If I drop a watermelon from the top of one of the tower dorms at CSU, and it takes 3. 34 seconds to hit the ground, calculate how tall the building is in meters. d=vit+1/2 at 2 d=(om/s)(3. 34 s) +1/2(9. 8 m/s 2)(3. 34 s)2 d=54. 66 m
Thought Question 2 Explain how the distance traveled by the free falling ball changes each second. The distance increases more and more each second. Explain how the speed of the free falling ball changes each second. The speed increases by the same amount each second which is 9. 8 m/s