The height of a projectile moving vertically is given by the table, where t is the elapsed time in seconds and h is the height in feet. t = 0, 1, 2, 3, 4, 5 h = 100, 684, 1236, 1756, 2244, 2700 If the height is modeled by h(t) = -16t2 + v0t + h0, where v0 and h0 are the velocity and height at t = 0, respectively, find v0

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: 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: Express the following in scientific notation and indicate how many significant figures each has. a.…

A: Scientific notation and indicate how many significant figures each has. a. 5780.0 b. 0.008401 c.…

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: The rectilinear motion of a particle is given by s = v squared minus 9 where s is in feet(ft) and v…

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Q: Express the following sum with the correct number of significant figures: 1.80 m + 142.5 cm + 5.34 *…

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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: Perform the following unit conversions: a) 65 miles per hour to meters per second (hint: 1 mile =…

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Q: Write the following quantities in standard units. (a) 0.49 Ms =_____  s (b) 4.5 km =_______  m…

A: a) The standard unit of time is second. The conversion of mega second into second is…

Q: A person starts walking from home and walks: 6 miles East 2 miles Southeast 6 miles South 5 miles…

A: Displacement is the shortest distance between initial position and final position. The path of the…

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

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Q: The result of (20.20 + 0.010)(11.20 – 6.200) is in Newtons (N). If 20.20 is in meters (m), what are…

A: Given: unit of 20.20 is meter and unit of (20.20+0.010)*(11.20-6.200) is N

Q: Express the following sum with the correct number of significant figures: 1.80 mm + 171.5 cm +…

A: Here, the sum is

Q: Apply the necessary conversions to find: a) The speed in km/min equal to 78.0 mi/h b) The area in…

A: Given data: Speed = 78 mi/h Rectangle have sides 18.6 m and 3.82 m Height of person = 5 ft 7 in

Q: What is the length of the vector 7 = aî + bŷ + ck if a = 4.07 cm, b = -8.59 cm, and c- 4.06 cm? Give…

A: Length of a vector: The length of a vector follows the magnitude of the vector: vector…

Q: Compute 3.24 m + 0.532 m to the correct number of significant figures.A. 3.7 m B. 3.77 m C. 3.772 m…

A: While adding, the sum of the numbers will have the same number of significant figures as in the…

Q: Harry, an avid TikToker, decided to look at his wristwatch to tell his friend dolphins the current…

A: Given data: Length of the hour hand,lh=5.10 cm Length of the minute hand, lm=10.50 cm To…

Q: What is the magnitude of the displacement of a car that travels 8.2 mi east and then 4.3 mi north?…

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Q: What is the difference in magnitude between a system that runs in milliseconds and one that operates…

A: Milliseconds and nanoseconds are different smallest units of time. The SI unit of time is second(s).…

Q: State the number of significant figures in the following :(a) 0.007 m2 (b) 2.64 × 1024 kg (c) 0.2370…

A: a)In 0.007 m2, only significant digit is 7.Answer: No of significant digits: 1

Q: The height h, in feet, of a golf ball t seconds after it has been hit is given by the equation  h =…

A: height h, in feet , h = −16t2 + 76t. How many seconds after the ball is hit will the height of the…

Q: The path of a baseball after being hit is modeled by f(x) = −0.007x2 + x + 4, where f(x) is the…

A: The baseball’s path can be described as, Here, x denotes the horizontal distance.

Q: Which of the following values has the fewest number of significant figures? 0.100 O 1.00 O 10.0 O…

A: The properties of significant figure are:- -All the non-zero digits are significant. - All the zeros…

Q: The correct conversion of speed limit of 65 mi/h in terms of SI unit is 1.609 km) (Given 1 mile= Oa…

A: Given, Speed, v=65 mi/h

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

A: Significant figures

Q: An Airplane travels at 951 km/h. how long does it take to travel 1.00 km? (SI units, always) (Make…

A: Given Speed of Airplane (V) = 951 Km/h =264.167 m/s Distance =1 Km = 1000 m

Q: A man walks 41.7171 m directed 60.4253 degrees from the positive x-axis, then he walks 33.2874 m…

A: Let d1 = 41.7171 m and θ1 = 60.42530       d2 = 33.2874 m  and θ2 = 131.55910      d3   =  14.5547 m…

Q: How many significant figures are in each of the following? a) 2.401 b) 0.0005337 c) 6.00 d) 5.1…

A: a) 2.401 Significant figures = 4 b) 0.0005337 Significant figures = 7

Q: The motion of a particle is given by a = 6v1/3, where a is in feet per sec² and v in feet per sec.…

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Q: How many significant figures are there in the number 0506.00? А. 6 В. 5 С. 4 D. 3 Е. 2

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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: speed of an object averaged over a given period of time is know as?

A: Speed is nothing but the magnitude of velocity and it is a scalar quantity.

Q: A map suggests that Atlanta is 730. miles in a direction 5.00°north of east from Dallas. The same…

A: The vector representation of the location is given below,

Q: What is the magnitude of the displacement of a car that travels 5.9 mi east and then 1.8 mi north?…

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Q: The x and y components of a vector A of magnitude A = 4m shown in the figure below are: (30' Ax=…

A: Given that--- magnitude of vector A = 4 m Question ❓ x and y component of vector A

Q: Draw a distance vs time graph. Time (hr) Distance (km) 105 1.4 2.3 175 250 3.3 315 350 495 4.2 4.8…

A: The table for the graph is: Distance(km) Time(hr) 105 1.4 175 2.3 250 3.3 315 4.2 350…

Q: Hardy, an avid JikTeker decided to look at his wristwatch to tell his friend dolphins the current…

A: Given:Length of hour hand, h = 6.20 cmlength of minute hand, m = 9.50 cmassumption: hour hand moves…

Q: The height h in feet of an object that is dropped from a height of a feet is given by the formula h=…

A: Height of one story = 12 feet so Total height of the bottle from ground = 12*5 story = 60 feet and…

Q: A student, following directions on her map, starts at the origin and walks the following routes: •…

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Q: An athlete runs with velocity 12 km/h12 km/h for 44 minutes, 16 km/h16 km/h for the next 22 minutes,…

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Q: Express the following sum with the correct number of significant figures: 1.80 mm + 162.5 cm +…

A: In addition and subtraction, the last significant decimal place in the calculated result should be…

Q: The following conversion equivalents are given:1 m = 100 cm 1 in = 2.54 cm 1 ft = 12 inA bin has a…

A: Given Information:

Q: Identify whether scalar quantity or vector quantity. a) measurement of years b) grams c) the…

A: Given a to j option is mentioned and we have to find the vector or scalar quantity.

Q: A man walks 15.7667 m directed 223.2164 degrees from the positive x-axis, then he walks 27.9801 m…

A: s1 = 15.7667 m , θ1 = 223.2164° s2 = 27.9801 m, θ2 = 17.5732° s3 = 14.6125 m, θ3 = 263.5131°

Q: An airplane travels at a constant speed of 800 kilometers per hour (km/h). Approximately how long…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.