# Math Help - calc question

1. ## calc question

the motion of a particle is given by the parametric equations x=t^2+t and y=3t-2. the speed of the particle at t=2 is....?
a.) 2 sq.roots of 2
b.) sq. root of 26
c.) sq. root of 34
d.) 6
e.) 2 sq. roots of 13

i got the answer 3/5 and don't understand why i'm not even close to any of these answers.

2. You simply require the formula:

$v(t) = \sqrt{(x(t))^2 + (y(t))^2}$

by putting the value t=2 into both equations and using the formula above you should get the correct answer.
I'll leave you to do the calculations.

3. thanks i got e.) 2 sq. roots of 13
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8580964207649231, "perplexity": 1571.5134366389032}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2014-10/segments/1394678705742/warc/CC-MAIN-20140313024505-00053-ip-10-183-142-35.ec2.internal.warc.gz"}