One of the equations that we will introduce during oui study of kinematics (the

Question

One of the equations that we will introduce during oui study of kinematics (the description of motion) is, v2 = vo2 + 2ax where x is the distance in meters, v is the speed in m/s, a is the acceleration in m/s2, and t is the time in seconds Based on this information, is the following equation also possible x = (v + 1/2 a) t Why or why not? If you measured length in centimeters, what would be the units for area? What is the volume of a solid cylinder with a radius of 15 cm and a length of 15 cm ? A 10 kg ball raised up by 10 m possesses energy called potential energy given by U = mgy , where g = m/s2. What is the value and units of the potential energy, U, for this ball ? A car is driving at a speed of 55 miles per hour What is its speed in m/s? How many significant figures are in ? From 1953 to 1966 the number of automobiles in the country increased at an annual rate of percent What is the doubling time for growth in automobiles in the US? Write 5,000,000 in powers of ten. If you live 17 miles from school and it takes you h to travel the distance, what is your speed, v = d / t, in meters per second? Write 0 00312 in powers of ten.

Explanation / Answer

1. X = (V + a/2) t

dimensions on left hand side ::

X = meter

dimensions on right hand side ::

(V + a/2)t = ((m/s) + (m/s2)/2) s = m + (m/s)/2

hence we see that the dimension on the two sides does not match , so the equation is not possible

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