$MathMaster logo$

MathMaster

Home
general
if the cheetah made a round trip and took half the amount of time on the return trip as on the front end of trip what woul

Question

If the cheetah made a round trip and took half the amount of time on the return trip as on the front end of trip what would be the relationship between the average rates on each leg of the trip

285

likes

1427 views

Answer to a math question If the cheetah made a round trip and took half the amount of time on the return trip as on the front end of trip what would be the relationship between the average rates on each leg of the trip

$Expert avatar$

4.5

112 Answers

\text{1. Define variables for average speeds:}

v_f \text{ for the front trip and } v_r \text{ for the return trip.}

\text{2. Given that the return trip took half the time of the front trip:}

t_r = \frac{t_f}{2}

\text{3. Use the relationship between distance, speed, and time:}

d = v_f \cdot t_f \quad \text{(front trip)}

d = v_r \cdot t_r \quad \text{(return trip)}

\text{4. Since the distances are equal:}

v_f \cdot t_f = v_r \cdot \frac{t_f}{2}

\text{5. Simplify to find the relationship between the speeds:}

v_f = \frac{v_r}{2} \Rightarrow v_r = 2v_f

\text{6. Therefore, the average speed on the return trip is twice the average speed on the front trip:}

v_r = 2v_f

Frequently asked questions (FAQs)

Question: Find the unit vector and vector components of vector A = 3i + 4j.

+

Math question: Find the measure of angle BAC in a circle where chord BC is parallel to the tangent at point A. (

+

What is the result of (2^3) * (2^4)?

+

New questions in Mathematics

5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight

³√12 x ⁶√96

Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]

4x-3y=24 and 5x-2y=9 solve by elimination

(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.

Primes are numbers divisible only by 1 and themselves; There are infinitely many prime numbers and the first ones are 2, 3, 5, 7, 11, 13, 17, 19, 23, .... Consider a 12-sided die, with the faces numbered from 1 to 12. Out of 4 rolls, the probability that only the first three numbers are primes is:

A box of numbered pens has 12 red, 12 blue, 12 green and 12 yellow pens. The pens for each colour are numbered from 1 to 12. There is a unique number on each pen, so no pen is exactly the same as any other pen in the box. When reaching into the box to randomly draw five pens without replacement, what is the proportion of getting exactly four pens of the same colour (Note: the numbers matter but the order does not)?

Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block. A. What is the acceleration of the blocks? B. What is the force of the 4.3-kg block on the 5.4 -kg block? C. What is the force of the 5.4 -kg block on the 4.3 -kg block?

ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826

A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?

9/14 x 7/27 carry out indicated operation

Translate to an equation and solve. Let x be the unknown number: What number is 52% of 81.

Calculate the area of the parallelogram with adjacent vertices (1,4, −2), (−3,1,6) 𝑦 (1, −2,3)

If sin A=0.3 and cos A=0.6, determine the value of tan A.

Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.

Square root of 169 with steps

An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?

In a cheese factory, one pie costs 3800 denars. The fixed ones costs are 1,200,000 denars, and variable costs are 2,500 denars per pie. To encounter: a) income functions. profit and costs; b) the break-even point and profit and loss intervals.