Model: Locutusque/Hercules-2.0-Mistral-7B
Author: Locutusque
Pipeline: text-generation
Library: transformers
Tags: transformers, safetensors, mistral, text-generation, not-for-all-audiences, chemistry, math, code, physics, dataset:Locutusque/hercules-v2.0, license:apache-2.0, model-index, text-generation-inference, endpoints_compatible, region:us
Card metadata: license: apache-2.0
library_name: transformers
tags: not-for-all-audiences, chemistry, math, code, physics
datasets: Locutusque/hercules-v2.0
widget: example_title: Derivative
text: 
user
In this task, you are given a description of an object and its surroundings. Your task is to describe the motion of the object mentioned in the description using differential equations. The answer should be a mathematical expression in t. Description: A ball is thrown up at 30 ft/sec from 3 feet off the ground. Solve this step-by-step, explaining each step in detail.


assistant

output: text: Let h(t) be the height of the ball at time t after it was thrown. We know that when the ball is thrown, it has an initial velocity v0 = 30 ft/sec and initial height y0 = 3 ft. We also know that the acceleration due to gravity g = -32 ft/sec^2.

To solve for the motion of the ball, we can use the equation for vertical motion with acceleration due to gravity:

h(t) = v0 * t + (1/2) * g * t^2 + y0

Substituting the values given in the problem, we get:

y(t) = (30)(t) + (1/2)(-32)(t)^2 + 3

Now, let's simplify the equation:

y(t) = 30t - 16t^2 + 3

This is the final solution for the height of the ball as a function of time.
model-index: name: Hercules-2.0-Mistral-7B
results: task: type: text-generation
name: Text Generation
dataset: name: AI2 Reasoning Challenge (25-Shot)
type: ai2_arc
config: ARC-Challenge
split: test
args: num_few_shot: 25
metrics: type: acc_norm
value: 61.09
name: normalized accuracy
verified: no
source: url: https://huggingface.co/spaces/HuggingFaceH4/open_llm_leaderboard?query=Locutusque/Hercules-2.0-Mistral-7B
name: Open LLM Leaderboard, task: type: text-generation
name: Text Generation
dataset: name: HellaSwag (10-Shot)
type: hellaswag
split: validation
args: num_few_shot: 10
metrics: type: acc_norm
value: 83.69
name: normalized accuracy
verified: no
source: url: https://huggingface.co/spaces/HuggingFaceH4/open_llm_leaderboard?query=Locutusque/Hercules-2.0-Mistral-7B
name: Open LLM Leaderboard, task: type: text-generation
name: Text Generation
dataset: name: MMLU (5-Shot)
type: cais/mmlu
config: all
split: test
args: num_few_shot: 5
metrics: type: acc
value: 63.47
name: accuracy
verified: no
source: url: https://huggingface.co/spaces/HuggingFaceH4/open_llm_leaderboard?query=Locutusque/Hercules-2.0-Mistral-7B
name: Open LLM Leaderboard, task: type: text-generation
name: Text Generation
dataset: name: TruthfulQA (0-shot)
type: truthful_qa
config: multiple_choice
split: validation
args: num_few_shot: 0
metrics: type: mc2
value: 43.97
verified: no
source: url: https://huggingface.co/spaces/HuggingFaceH4/open_llm_leaderboard?query=Locutusque/Hercules-2.0-Mistral-7B
name: Open LLM Leaderboard, task: type: text-generation
name: Text Generation
dataset: name: Winogrande (5-shot)
type: winogrande
config: winogrande_xl
split: validation
args: num_few_shot: 5
metrics: type: acc
value: 79.48
name: accuracy
verified: no
source: url: https://huggingface.co/spaces/HuggingFaceH4/open_llm_leaderboard?query=Locutusque/Hercules-2.0-Mistral-7B
name: Open LLM Leaderboard, task: type: text-generation
name: Text Generation
dataset: name: GSM8k (5-shot)
type: gsm8k
config: main
split: test
args: num_few_shot: 5
metrics: type: acc
value: 44.43
name: accuracy
verified: no
source: url: https://huggingface.co/spaces/HuggingFaceH4/open_llm_leaderboard?query=Locutusque/Hercules-2.0-Mistral-7B
name: Open LLM Leaderboard
Likes: 17 | All-time downloads: 12961
Created: 2024-02-03 11:26:01