An object in free fall travels a distance s that is directly proportional to the square of the time t. If an object falls 735 feet in 7 seconds, how far will it fall in 10 seconds?

Q: A truck is moving at a constant speed of 8.3 m/s. How long (in hours) will it take for the truck to…

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Q: The Boston Marathon is the oldest annual foot race, in which those that finish complete a distance…

A: We will need to do two unit conversions. First, convert yards to miles.

Q: An object moves along the x axis according to the equation  x = 2.55t2 − 2.00t + 3.00,  where x is…

A: An object moves along the x-axis according to the equation  x = 2.55t2 − 2.00t + 3.00 ...(1)…

Q: How many significant figures does each of the following numbers have?a. 0.621 b. 0.006200 c. 1.0621…

A: Since there are multiple sub-parts posted, we will answer the first three sub-parts for you. If you…

Q: A taxi hurries 240 km in 3 hours . What is its average speed in kilometers per hour?

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Q: If a plane needs to go 250km/h to take off, and the most it can take is 30 seconds, how much does…

A: The plane needs to increase its speed from u=0 to v=250 km/h=69.44 m/s in a time period of t=30 s.…

Q: A car starts from 0 m, goes to +10 m and then back to Om. What is the cars distance? 0m 20 m -10 m…

A: (a) Arrow in blue colour starts from x= 0 and ends at  x = +5 m and then Arrow in red colour starts…

Q: My cat, Boots, takes 0.44 s to jump off his cat tower to the ground. What was his height from which…

A: Given values  Time period of jump (t) = 0.44 s  According to second law of motion -  Where  H =…

Q: Rank in order, from the most to the fewest, the number of significant figures in the following…

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Q: How many significant figures does  1.362+25.2 have ? (a) 2.             (b) 3.              (c) 4.…

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Q: “An object is moving at a speed of v(t)= 3(t^2-1)+5tan (7t), where V is in m / s and t in seconds.…

A: Given  V(t) = 3t2 -3 +5tan(7t)  The acceleration si A(t) = ????

Q: An airplane travels 40 miles in 10 minutes, then travels 20 miles in 80 minutes. Is the pilot…

A: Given data :- distance d1 = 40 miles time t1 = 10 minutes distance d2 = 20 miles time t2 = 80…

Q: If you drive 113 miles in 2 hours and 15 minutes (2.25 hours) then what was the magnitude of your…

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Q: The person wants a distance of 2.7 km in a time of 36 minutes what is her average speed in…

A: Given data: The distance traveled is s=2.7 km. Time taken is t=36 min.

Q: If you could jump with an initial speed at 5 m/a, how many jumps would you need to reach the top of…

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Q: The tallest Ferris wheel in the world is located in Singapore. Standing 42 stories high and holding…

A: The angular speed of the Ferris wheel is as follows: ω=2πTω=2π30 min×60 s1 minω=3.49×10-3rad/s…

Q: The distance between two cities is 100 mi. What is the number of kilometers between the two cities?…

A: It is known that in 1 mile there is 1.6 km.

Q: To what extent do nanoseconds and milliseconds vary in terms of magnitude?

A: A nano second is one-billionth of a second. A millisecond is one-thousandth of a second.

Q: The number 0.0078 has how many significant figures? (a) 1.        (b) 2.      (c) 3.…

A: Given: 0.0078  The zeros which are after the decimal and before the non zero digits are not…

Q: Neglecting air resistance, if a coin is dropped from the top of a building and takes 2.9 seconds to…

A: Given data: Time taken by the coin from the top of a building (t) =2.9 s Need to determine the…

Q: How much faster does anything move in a nanosecond as opposed to a millisecond?

A: Speed of light in vaccum , c = 3 ×108 m/ s  is the speed limit of this universe and nothing can move…

Q: A shoe was dropped from a building and passes the third floor in 0.411 seconds. If each floor of the…

A: Solution: given that t = 0.411 m h = 4.5 m each

Q: Vesna Vulovic survived the longest fall on record without a parachute when her plane exploded and…

A: Distance , d = 5 mines and 130 yards  To find = distance in meters

Q: How long will it take Steve to run 85 m if he can run 3.4 m/s?

A: Given data:  Distance (d) = 85 m Speed (v) = 3.4 m/s Required: Time (t)

Q: If a bicyclist travels 30 kilometers in two hours, her average speed is:

A: Given data: Distance traveled d = 30km Time = 2 hours.

Q: How much quicker is something in nanoseconds than something in milliseconds?

A: Given,  We have two units , nanosecond and millisecond.

Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far (in meters) are you…

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Q: How many significant figures are there in (a) 78.9 ± 0.2, (b) 3.788 × 10

A: Significant figures shows that the figures which gave the accuracy in the measurement.

Q: Somewhere, time is measured in cronosees (c) and distance is measured in tsols (t). The conversion…

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Q: What is the speed of a walking person in m/s if the person travels 1000 m in 20 minutes?

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Q: A shoe was dropped from a building and passes the third floor in 0.411 seconds. If each floor of the…

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Q: If a car runs 50miles per hour and another car runs 50km per hour. How far are the two after 1 hour…

A: Car A runs 264,000 feet in 1 hour and car B runs 164,041.99 feet in 1 hour.

Q: How many meters per second are 25 miles per hour?

A: Given:  To convert 25 miles per hour in meter per second.

Q: You drive out of a car dealership and go 10 miles east, and then 8 miles south. Then your friend…

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Q: The EKstreme Tower at Enchanted Kingdom amusement park is 175-feet tall. How long does it take for…

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Q: What is your average speed if you walk 2 kilometers in 20 minutes?

A: The expression for the average speed,

Q: For a particle, acceleration is given: a = 4x, units are ft/s^2 and feet. If v = 1.5 ft/s when x =…

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Q: If you are running 10km/h, how far will you run after 2 hrs?

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Q: the distance between an object falls from rest varies directly as the square of time. if an object…

A: The relationship between displacement and time is  S = kt²  where S represents displacement, t is…

Q: A car goes 260 miles in 27 hrs. What is the average speed in miles per hour?

A: Given ,          distance = 260 miles           time = 27 hrs

Q: You are driving 52 mi/h and take your eyes off the road for "just a second" (exactly one second).…

A: Given Speed = v = 52 mi/h Time taken to travel = t = 1 sec We have to calculate distance (in feet)…

Q: If you traveled 3 miles north at a speed of 30mi/hr, then 4 miles east at 20 mi/hr, what would be…

A: Given data: The distance traveled in north is d1=3 miles. Speed v1=30 mi/hr. The distance traveled…

Q: The height of a cannonball, h, in meters, over time, t, in seconds, as it is shot off a platform can…

A: Given  h = -4(t +2)*(t-8)  Where h is in meters and t is in second.

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –