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

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

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 57P

See similar textbooks

Similar questions

In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .
In the answer, it gives a formula f-ff=m(0) and afterwards simplies into 120 - ff = 0 and further into ff=120N. My question is how do you not have to divide by 0 to finish the equation if that makes sense. To simply further why are we able to ignore the m(0) portion?
Which quantity can be completely described by its magnitudeonly ?
1) Express the speed of light, 3x10^8 m/s, ina) feet per nanosecond andb) millimeters per picosecond. 2) If A=6i-8j, B=-8i+3j and C=26i+19j determine a and b so that aA+bB+C=0 3)Two vectors are given by, a=2i+3j-k b= -i-2j+k Find a) a.b b) axb 4- Three vectors are given by a= 6i+2j-4k, b=-2i-j+k, c=3i+2j+2k Find a) a. (bxc) b) a. (b+c) c) ax (b+c) 5) If d is just a number, for what value of d is the vector A=2i+2j+4k perpendicular to the vector ?⃗⃗ = 2?̂− 8?̂+ ??̂?
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably more comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical intuition. More precisely, show that (a) 1.0 m/s = 3.6 km/h and (b) 1.0 m/s = 2.2 mi/h.
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably more comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical intuition. More precisely, show that (a) 1.0 m/s = 3.6 km/h and (b) 1.0 m/s = 2.2 mi/h. American football is played on a 100-yd-long field, excluding the end zones. How long is the field in meters? (Assume that 1 m = 3.281 ft.)
A toy car moves along a flat table, and a meter stick is used to mark its position at different times. If the car starts at a location of xi = 5.00 cm and moves to a location of xf = 15.0 cm then what is the displacement of the car in centimeters?
The world land speed record is 763.0 mi/h, set on October 15, 1997, by Andy Green in the jet-engine car Thrust SSC. If we subtract 183 mi/h from this speed, Express the resultant speed in meters per second.
the answer is 1.5 but I'm not sure how to get it. can you please explain it ?
My mutt dog who seems to be a mix of pug, schnauzer, and dachshund, Boomer, likes to eat worms. He spots a juicy one in the grass and takes off from our porch at 5.22 m/s. When he reaches the worm, 8.16 m from our porch, he determines it's not up to his dog standards and decides to let it live another day. How long did it take Boomer to reach the worm, to two decimal places?
A train 4.00 x 102 m long is moving on a straight track witha speed of 82.4 km/h. The engineer applies the brakes at acrossing, and later the last car passes the crossing with a speedof 16.4 km/h. Assuming constant acceleration, determinehow long the train blocked the crossing. Disregard the widthof the crossing.
If F1=2N, and F2= 3.4N, α1=500, α2=400. The value of FR by Cos law is: