By using the calculus of variations, prove that the shortest distance between two points in the y z plane is a straight line.

Q: How far (in m) does a car going 27 m/s travel in 8.6 s?

A: Distance travelled by car is,

Q: Name the physical quantities related to the following units : (a) Km?

A: The unit given is Km2 Therefore, the given unit is a square kilometer.

Q: A person drove 5 miles from home to the store. She took a different route back home that was only 4…

A: Motion of person (i) 5 miles from home to store  (ii) 4 miles from store to back home

Q: Prof. Chini's research group uses short bursts of laser light to measure the motion of electrons…

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Q: (a) determine the average distance between the Earth and the Sun. Then calculate the average speed…

A: The average distance between the Sun and the Earth is given as, r=1.496×108 km The time taken by the…

Q: Use the "Common Metric Prefix "Chart on your Math Review homework to convert 1 um to meters.

A: We know that1μ=10-6                    11cm=10-2m                 2

Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

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Q: An object is dropped from rest and takes 2.94 seconds to reach the ground below. From what distance…

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Q: An object is dropped from rest and takes 2.83 seconds to reach the ground below. From what distance…

A: Given Data: The initial velocity of an object is, u=0 m/s The time required to reach below the…

Q: A rectangular container measuring 18 cm ⨯ 45 cm ⨯ 61 cm is filled with water. What is the mass of…

A: The objective of the question is to find the mass of the water in a rectangular container with given…

Q: How long will it take a dropped object to reach the ground if dropped from a height of 1.75 meters?

A: Initial speed, u = 0 because object is dropped from rest.

Q: . A stone dropped from a building takes 4 s to reach the ground. The height of the building is (a)…

A: Given data: Initial velocity (V0) = 0 m/s Time (t) = 4 s Required: The height of the building

Q: A creature moves at a speed of 5 furlong per fortnight. Given that 1 furlong = 220 yards and 1…

A: Given: Distance, d = 5 furlong Time, t=1 fortnight   To determine the speed of the creature in m/s.

Q: Van is traveling at a speed of 52 m/s. (a) What is its speed in kilometers per hour? (b) Is it…

A: Given Speed=52m/s

Q: A car is traveling at a speed of 33 m/s. (a) What is its speed in kilometers per hour? (b) Is it the…

A: Given that-A car is travelling at a speed of 33 m/sWe know the-Conversion formula- X m/s=X ms1…

Q: Express this product in units of km3 in standard scientific notation and with the appropriate number…

A: given that (4.2 km) × (4.0 m) × (13.24 × 10−3 mm)

Q: A tortoise is walking in the desert. It walks at a speed of 3 meters per minute for 93.75 meters.…

A: Given Speed of the tortoise is v=3 m/min Distance covered by the tortoise is d=93.75 m   We have to…

Q: A car traveling 98 km/hkm/h is 250 mm behind a truck traveling 83 km/hkm/h . How long will it take…

A: The given data are: uc=98 km/hd=250 mm=0.250 mut=83 km/h Here, uc is the velocity of the car, d is…

Q: This explanation is very confusing.  Can you be so kind and detail the steps and math calculations.…

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Q: A man is standing near a window. The window is 7.14 meters tall. The man watches a falling atone…

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Q: The cart moved a distance of 165 cm. How many meters did the cart move? (1 meter m 100 centimeters)

A: Given: The distance moved by cart, d=165 cm   To convert the above distance into meters.

Q: An object is dropped from rest and takes 2.41 seconds to reach the ground below. From what distance…

A: The height from which the object was dropped can be determined by the following kinematics equation.…

Q: y 4 m y = 4 16 -8 m Consider the area in . 9:49 am ✔

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Q: Given points M(41, -13, 1) and N(-21, 14, 6), RMN = _____. (Answer in this format: )

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Q: A car travels 40 kilometers at an average speed of 80 km/hr and then travels another40 kilometers at…

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Q: Perform these operations in scientific notation with the appropriate number of significant figure…

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Q: An object is dropped from rest and takes 2.42 seconds to reach the ground below. From what distance…

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Q: A car’s speed is 65 km/hour, What is this speed is the unit of “m/s”?   Question 2 options:    12…

A: Given: The speed of the car is 65 km/h.

Q: How far (in m) does a car going 25 m/s travel in 7 s?

A: Write the expression for distance travelled by the car .

Q: A rectangular container measuring 18 cm ⨯ 45 cm ⨯ 61 cm is filled with water. What is the mass of…

A: