Two vehicles travel along two distinct roads. The first vehicle traveled in the first roadway with...

Two vehicles travel along two distinct roads. The first vehicle traveled in the first roadway
with a spot speed equal to “A veh/hr”, while the second vehicle traveled along the second roadway
with a space mean speed equal to “A veh/hr”. If the two vehicles originated at the same position
and will arrive at the same points, who will arrive at the destination first? Elucidate, and
expound your idea based on the fundamental definitions and your logical reasoning.

Expert Solution

Spot speed of a vehicle is defined as speed at a particular instant. Whereas sapce mean speed of vehicle is calculated as harmonic average of a number of spot speed readings. Harmonic average gives more weightage to the slower spot speed reading hence it is observed to be lesser than average time mean speed which is arthematic mean of spot speed readings. Space mean speed give more weightage to speed of slower vehicle but will always be higher than this. Therefore, if space mean speed of a vehicle X is equal to spot speed of another vehicle Y then it means that there will be more spot speeds values of vehicle X than spot speed value of vehicle Y. In other words, though space mean speed is weighted towards slow vehicle speed even then if the value of space mean speed of vehicle X is equal to spot speed of another vehicle Y then the spot speed values of the X vehicle is more than vehicle Y.

Therefore the vehicle Second with space mean speed equal to A which is equal to spot speed of First vehicle will be reaching fast at destination than that of First vehicle.

Ally Wells answered 1 year ago

How many distinct arrangements of the letters in MANANGATANG are there in which the first two...

How many distinct arrangements of the letters in MANANGATANG are there in which the first two letters include an M or a T (or both)? Note: - MANANGATANG has 11 letters (one M, one T, two Gs, three Ns and four As). - These are all the possible positionings of T and M in the first two positions: M M T T M T T M PLEASE SHOW FULL LEGIBLE WORKING.

Two sinusoidal waves, identical except for phase, travel in the same direction along a string, producing...

Two sinusoidal waves, identical except for phase, travel in the same direction along a string, producing the net wave: y(x,t) = (63.2 cm) * sin(1.4*x - 2.1 s-1*t + 0.24 rad); with x in meters and t in seconds. What is the phase difference between them? Give answer in radians. Do not enter unit. What is their amplitude? What is the wavelength of the two waves? What is their period?

Consider a rectangle in the first quadrant with two sides along the axes (so that one...

Consider a rectangle in the first quadrant with two sides along the axes (so that one corner is at (0, 0)). Find the dimensions of the largest such rectangle that is inscribed in the region in the first quadrant below the curve y = (x − 2)^2 . (Draw a picture)

Two cars collide and stay stuck together. Determine the final velocity. The first vehicle has a...

Two cars collide and stay stuck together. Determine the final velocity. The first vehicle has a mass of M1 = 2Kg and moves with a speed of 30 m/s traveling in a direction 30 degrees south of east. The other vehicle has a mass of M2 = 3Kg and moves with a speed of 50 m/s in a direction 45 degrees west of north. Express the velocities as vectors and use the relevant physical principle to solve the problem.

Two trains (on separate tracks) travel toward each other, the first at 60.0 km/s and the...

Two trains (on separate tracks) travel toward each other, the first at 60.0 km/s and the second at 40.0 km/s. Both turn on their whistle, the first one emitting a frequency of 200 Hz and the second one emitting a frequency of 220 Hz. What frequencies do they each receive if the speed of sound in air is 330 m/s? Hint: Draw a diagram or do this one in steps. Is the source or the observer moving?

Question