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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9498▌ posts · files
MMLU-Pro / 9498 / Suppose the notion of a particle traveling along the x-axis is described by the…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Suppose the notion of a particle traveling along the x-axis is described by the equation x = a + bt^2 where a = 20 cm and b = 4 cm/sec^2. (a) Find the displacement of the particle In the time interval between t_1 = 2 sec and t_2 = 5 sec. (b) Find the average velocity in this time interval, (c) Find the instantaneous velocity at time t_1 = 2 sec.
category
physics
options
- Displacement: 52 cm, Average velocity: 17.33 cm/sec, Instantaneous velocity: 32 cm/sec
- Displacement: 28 cm, Average velocity: 84 cm/sec, Instantaneous velocity: 16 cm/sec
- Displacement: 84 cm, Average velocity: 28 cm/sec, Instantaneous velocity: 16 cm/sec
- Displacement: 84 cm, Average velocity: 16 cm/sec, Instantaneous velocity: 28 cm/sec
- Displacement: 76 cm, Average velocity: 25.33 cm/sec, Instantaneous velocity: 24 cm/sec
- Displacement: 64 cm, Average velocity: 21.33 cm/sec, Instantaneous velocity: 40 cm/sec
- Displacement: 16 cm, Average velocity: 28 cm/sec, Instantaneous velocity: 84 cm/sec
- Displacement: 40 cm, Average velocity: 13.33 cm/sec, Instantaneous velocity: 20 cm/sec
- Displacement: 72 cm, Average velocity: 24 cm/sec, Instantaneous velocity: 48 cm/sec
- Displacement: 60 cm, Average velocity: 20 cm/sec, Instantaneous velocity: 36 cm/sec
src
stemez-Physics
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Source and history
- upstream_id / Original problem ID
- 9498
- task_id
292f5388-cad8-50f3-b844-1f720888f645- task_key
default--test--9498- task_revision_id
- 1
- config / split
- default / test
initial import