PHYSICS kinematic Equations

Question

1. An ice skater starts their routine at rest. At the end of their routine, the ice skater has a velocity of 3 m/s. What was the ice skater’s average velocity during their routine?
2. Starting at rest, I walk in a straight line for 60 seconds. At the end of the walk, I’m 180 m away from the starting point. What was my acceleration over the course of my walk?
3. A train starts off 1200 m away from the station in the negative direction. It ends up 1200 m away from the station in the positive direction. Its trip took 600 seconds (10 minutes). What was the train’s average velocity on this trip
4. In a plane, I accelerate at the rate of 10 m/s2 for 60 seconds. How far was my plane displaced over this time? (Assume the plane starts at rest, at position 0)
5. During a race, I start off at a velocity of 1m/s, at position 0. I end up at a position of 35 meters. My acceleration during the race is .5 m/s2. What is my final velocity?

Need to chekc my answers for these 5 questions, these confuse me a bit so i need to make sure im doing it right.

Answer 1

1. An ice skater starts their routine at rest. At the end of their routine, the ice skater has a velocity of 3 m/s. What was the ice skater’s average velocity during their routine?

Average velocity = (0 + 3)/2 = 1.5m/s

1. Starting at rest, I walk in a straight line for 60 seconds. At the end of the walk, I’m 180 m away from the starting point. What was my acceleration over the course of my walk?

x = v₀•t + a•t²/2

2(x - v0•t)/t² = a

2(180-0)/3600 = a

a= 0.1m/s²

1. A train starts off 1200 m away from the station in the negative direction. It ends up 1200 m away from the station in the positive direction. Its trip took 600 seconds (10 minutes). What was the train’s average velocity on this trip

Average velocity v = x/t

total x = 2400m

v = 2400/600 = 4m/s

1. In a plane, I accelerate at the rate of 10 m/s2 for 60 seconds. How far was my plane displaced over this time? (Assume the plane starts at rest, at position 0)

x = v₀•t + a•t²/2

x = 0 + 10•3600/2 = 18000m

1. During a race, I start off at a velocity of 1m/s, at position 0. I end up at a position of 35 meters. My acceleration during the race is .5 m/s2. What is my final velocity?

v = √( v₀²+2•a•x)

v = √(1+2•0.5•34)

v = 5.92m/s

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