Question: Three students derive the derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s2), and t the

Three students derive the derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s2), and t the time, and the subscript (0) means a quantity at time t = 0:
(a) x = vt2 + 2at
(b) x = vot + ½ at2, and
(c) x = vot + 2at2.
What of these could possibly be correct according to a dimensional check?

Step by Step Solution

★★★★★

3.28 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The quantity 17 has units of mss ms which do not match with the units of meters for x The quant... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-M-M (125).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Derive expressions for (h/v) T and for (h/T) v that do not contain the properties h, u, or s.

A car of mass m travelling at speed v moves on a horizontal track so that the centre of mass describes a circle of radius r. Show that the limiting speed beyond which the car will overturn is given...

At time t = 0 and at position x = 0 m along a string, a traveling sinusoidal wave with an angular frequency of 440 rad/s has displacement y = +4.5 mm and transverse velocity u = 0.75 m/s. If the...

Miami Dade College/North Campus PHY1004L PHY2053L PHY2048L Lab "Mass, Weight, and Reading on the scale." Data: Table One Mass (kg) Force (N) 0.2 1.848 0.4 3.804 0.5 4.780 1.20 9.655 1.25 10.14 1.30...

Please help me with the following questions. 1. A 4.00 kgkg box sits at rest at the bottom of a ramp that is 9.00 mm long and is inclined at 30.0 above the horizontal. The coefficient of kinetic...

01). The mathematical relationship between three physical quantities a, b, and c is given by c P = b where P is a constant. If dimensions of a, b, and c are M L and M LT ' T L , respectively,...

Experiment 3 Acceleration Due To Gravity Questions How do you compute an object's velocity from its position? How do you measure the acceleration of a mass as it falls under the influence of gravity?...

Distance Traveled by a Projectile 2.; Experiment Inventory Materials Labware Sheet of Carbon Paper Protractor Fishing Sinker Tape Measure Marble *T able Monolament Line *Pencil Ramp *Sheet of Printer...

Use these formulas to help you solve the problems below. cs from Slides: Here are several still images from slides of different useful equations. 1D Motion Physics is Calculus S position V velocity a...

Purcell Export received an invoice dated August 21 from Dutch Specialties of Amsterdam with terms 5/20, n/45 for: 10 wood trays at $37.45 each; 35 wood planters at $43.75 each; 50 wood bowis at...

For each of the following observational studies in the news stories in the Appendix, specify the explanatory and response variables. a. News Story 12: Working nights may increase breast cancer risk....

In the AD/AS model, what prevents the economy from achieving equilibrium at potential output?

Allison delivers one baby, and a year later she delivers a second baby. Let C be the event that at least one of the babies is a girl (either the first, or the second, or both). Let D be the event...

Selva Inc. makes keyboards for tablets. Budgeted direct labour hours for the first three months of the coming year are: January ................ 13,140 February ...............12,300...

At a certain university, 60% of undergraduate students are male, and 40% are female. Ten percent of females change their majors at least once. Overall, 30% of students change their majors at least...

Selva Inc. makes keyboards for tablets. Planned production in units for the first three months of the coming year are: January .................. 43,800 February ................. 41,000 March...

Adamis is a men's retailer of high-quality leather goods, primarily leather shoes and belts. The average selling price for a pair of shoes is $725 and the average selling price of a belt is $350....

When economic policies such as price floors or price ceilings generate nonequilibrium prices, which of the following can occur? a. Market surplus b. Market shortage c. Deadweight loss d. All of the...

Orange Corporation has just made a French Euro bid on a project located in France. It won't find out for 90 days whether it has won the contract. There will be a 15% signing bonus payable to the...

Consider the following table: Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return Severe recession 0.10 34% 10% Mild recession 0.20 18% 6% Normal growth 0.45 14% 7% Boom 0.25 24%...