Question

Image transcription text

Tafu is working with subatomic particles in the Physics lab. A positron is traveling in a straight line down the particle accelerator. Tafu models its position with the function p(t)= i t- 1 where t&gt;1. In the limit calculations below, if you need to use -ec or 00, enter -INFINITY or INFINITY. (a) Calculate the limit 1' t c.1330" I: INFINITY q (b) Calculate the limit Iim t lql+p( )= INFINITY J (c) Calculate the limit 3'32""): 4 V (d) Let a&gt;1 be some fixed number. Let h&gt;0 be some small number. Write out a formula for the slope of the secant line to the graph of x=p(t) between the point at t=a and the point at t=a+h. You don't need to simplify this formula yet. (WARNING: When you write out an expression involving a and h, anytime you want to multiply a times h, you need to leave a single space between the two; Le. &quot;a h&quot; means &quot;a times h&quot;. In contrast, if you write &quot;ah&quot; the computer=webassign thinks that you are talking about a new variable called &quot;ah&quot;. Alternatively, use the arithmetic buttons in the pop-up box whenever you want to add, subtract, multiply or divide.): (a+h)2 _ a+h—1 h

...

Image transcription text

(e) Keep a fixed and think of your formula in (d) as a function in the variable h. Call it f(h). Now simplify your formula for f(h) so that it is a fraction with polynomials in the numerator and denominator, and the denominator does not vanish at h=0; i.e. your ﬁnal answer should be a rational function in h which is defined at h=0. (WARNING: When you write out an expression involving a and h, anytime you want to multiply a times h, you need to leave a single space between the two; Le. &quot;a h&quot; means "a times h&quot;. In contrast, if you write &quot;ah&quot; the computer=webassign thinks that you are talking about a new variable called &quot;ah&quot;. Alternatively, use the arithmetic buttons in the pop-up box whenever you want to add, subtract, multiply or divide): (f) Calculate the limit lim f (h) h—m = (g) A time t&gt;1 when the positron's instantaneous velocity is zero is (h) Where is the positron located at the time you found in (g)

... Solved by verified expert

itur laoreet. Nam risus an

ipsum dolor sit amet, consectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit a

Explore over 16 million step-by-step answers from our library

Step-by-step explanation
trices ac magna. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam
2 Attachments jpg jpg
Student reviews
50% (2 ratings)
Thorough explanation

"Thanks so much for your help, I really appreciate it!!"