What are the two roots of the equation (4.9 m/s2)t2 –(30 m/s)t + (3 m) = 0? (t has the unit of seconds.) - 0.102 s, 6.021 s - 0.102 s, - 6.021 s 0.102 s, 6.021 s

Q: Position (cm) Elapsed Time (ms) 0. 0. 20 237 40 325 60 409 80 469 520 100

A: The positive X-axis represents the position and the positive Y-axis represents the elapsed time. The…

Q: 41. Average velocity. In t seconds, an object dropped from a certain height will fall s(t) feet,…

A: Given Data: The height is given by, st=16t2. (a) The values of s(5) and s(3) can be calculated as,…

Q: My question isn't how to solve the problem exactly.  In fact, it's already been solved on this…

A: Basic concept of velocity and acceleration: Velocity of an object is defined as product of distance…

Q: You have an old American Mustang that you have shipped to Austria. The speed limit on the autobahn…

A: The speedo meter measures the Instantaneous speed of the vehicle. The speed limit on the autobahn in…

Q: 8. From the slope of the best-fit line, determine the average acceleration. Record this information…

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Q: 8. From the slope of the best-fit line, determine the average acceleration. Record this information…

A: From best fit line, at t= 0s , v = 0cm/s and at t= 0.15s , v = 133.33 cm/s Slope of best fit line =…

Q: Using the given graph, how do you calculate for the time constant (s) if the equation is given by…

A: From the curve we see that at time t = 10s the value of current is around, i(t)= 2.5 × 10-6 A.…

Q: An airplane has a touchdown velocity of 75.0 knots and comes to rest in 400 ft. What is the…

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Q: A motorcyclist is traveling at 13.6 m/s and accelerating at 3.05 m/s? for 2.1 s, how far does it…

A: Given(s): Initial speed, u=13.6 m/s. Acceleration, a=3.05 m/s2. Time, t=2.1 s Require:  Distance…

Q: In m/s?, what is the acceleration when t = 7.5 sec? Express your answer as an integer, not as a…

A: The acceleration at a time in velocity-time graph represents the at that time.

Q: 2. Plot a vs sin ele) Interpret the graph.

A: Here it is asked to plot the acceleration a vs the sinθvalue from the table.Thus, we will be using…

Q: A truck moves with a speed of 68 mi/h. how much is this speed in S.I. units? ( 1 mile = 1.609 km )…

A: Given that:Speed of truck is s=68 mi/h1 mile=1.609 km

Q: If an egg is dropped from rest and takes 0.8 seconds to hit the ground, what is the height, in…

A: Given Data: The time taken by egg to hit the ground is: t=0.8 s The gravitational acceleration is:…

Q: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the…

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Q: Problem 6: A car goes 56 m to the right and then 26 m to the left. It makes this trip in 55 seconds.…

A: Consider the initial position of the car at point O (xi = 0) as shown in the figure below. The car…

Q: A truck moves with a speed of 54 mi/h. how much is this speed in S.I. units? ( 1 mile = 1.609 km )

A: SI unit of speed is metre-per-second(m/s) Hence,  54mihr=54×(1.609×1000)60×60=24.135m/s

Q: Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled…

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Q: 2. A car is driven 1200 m north at 20.0 m/s and then driven 1600 m east at 25.0 m/s. What is the…

A: North:Distance Xn= 1200m Speed Vn= 20 m/sEast:Distance Xe= 1600mSpeed Ve= 25m/s

Q: function of time. Determine the value of the velocity at t = 16 seconds using a first order Lagrange…

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Q: A car travels along a 1000 m path, starting from rest. For the first 300 m, it accelerates at 2.00…

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Q: 1.) What is the total displacement of the jogger from t = 0 tot= 0.6 hours? 2.) What is average…

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Q: A car is travelling at the speed of V m/s on a straight, level road. After the brakes are applied at…

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Q: Manila and General Santos are about 1000 miles apart. A car leaves Manila to General Santos at the…

A: Given data:  The car and train travel towards each other  Total distance (d) = 1000 mi Speed of the…

Q: As your friend skateboards down a hill, you measure their velocity at 1.0-second intervals. You…

A: Given data:  Initial velocity at t = 0.0 s u = 0.0 m/s Final velocity at t = 2.0 s v = 4.6 m/s…

Q: what is the magnitude of the acceleration for an object starts with velocity ( 2i + 3j) m/s and…

A: Initial velocity of the object u→=2i^+3j^ (m/s) and final velocity of the object v→=13i^+7j^ (m/s),…

Q: +8

A: Given that First, the car going at the speed u1=50km/h=13.89m/s and the time is t1=8min=480s   Then…

Q: An airplane has a touchdown velocity of 75.0 knots and comes to rest in 400 ft. What is the…

A: Explanation To solve the problem we will use the following two kinematics equations. vf2=vi2+2ad…

Q: Pedro is driving a motorcycle along Espana boulevard. His position  (in meters) at any given time…

A: Given data *Pedro's position  (in meters) at any given time is x(t) = 1.124t2 + 6.022 Pedro's…

Q: An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground.…

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Q: When the legal speed limit for the New York Thruway was increased from 55 mi/h to 65 mi/h, how much…

A: GivenDistance travelled by motorist (D)= 450 kmwe know 1km=0.621371 milesD=450×0.621371…

Q: One of the main speed tests in athletics is the 400 meters dash. At the 1999 Seville World…

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Q: 0 1 2 3 4 5 6 Time (s) What is the displacement at time 0 sec 1. (by meter) ? 2) What is the total…

A: Let us consider a ball moving in one dimensional path from its initial position y=4 m   at t=0 s the…

Q: In m/s2, what is the acceleration when t=7.5 sec

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Q: The velocity of a car is given by the following graph/function: v(t) v(t) = 1.5+0.8t – 0.01t³ Where…

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Q: The following conversions occur frequently in physics and are very useful. Use and to convert 60 mph

A: Miles per hour and feet per second are the units of speed, these units are used to measure speeds.…

Q: A car slows from 48.4 kph to 34.9 kph to get off the highway in a span of 8.5 seconds. What is the…

A: Page 1

Q: e position of a crate sliding down a ramp is given by x = (0.25t³) m, y = (1.5t2) m, and z =…

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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 –