The kinematic equations can describe phenomena other than motion through space and time. Suppose x represents a person's bank account balance. The units of x would be dollars ($) and velocity v would give the rate at which the balance changes (in units of, for example, $/month). Acceleration would give the rate at which v changes. Suppose a person begins with five thousand dollars in the bank. Initial money management leads to no net change in the account balance so that v0 = 0. Unfortunately, management worsens over time so that a = −4.82 ✕ 102 $/month2. Assuming a is constant, find the amount of time in months until the bank account is empty.

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: A certain transverse wave is described by  y(x,t)= B cos( 2 pi [(x/L)-(t/T] )    where B=6.50mm,…

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Q: Light travels at a speed of about 3.0 x 108 m/s. (a) How many miles does a pulse of light travel in…

A: Given value--- speed of light = 3 × 108 m/s. time = 0.1 sec  We have to find--- (a) How many…

Q: what is the magnitude and direction of the vector formed from the following x and y components? Vx=…

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Q: A room has the dimensions 10 ft × 12 ft × 14 ft. A fly starting at one corner ends up at a…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: Averages follow the same rule. Suppose a car travels around a track three times. Your measurements…

A: Given DataV1=45 km/hV2=48.21 km/hV3=47.024 km/h

Q: Acar is going 19 m/s for 27 s. Draw an accurate graph showing the distance versus time for the car.…

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Q: Inga is walking near the Circular Forest, a forest in the shape of a circle with a radius of 10 km.…

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Q: f the motion is in two dimensions, the situation is somewhat more complicated. Here, the actual…

A: According to Pythagoras theorem  If a and b are perpendicular sides and c is diagonal then  c2 = a2…

Q: The path of an object projected at a 45-degree angle with an initial velocity of 60 feet per second…

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Q: Which of the following quantities are vectors, and which  are scalars? Be sure to explain the…

A: CONCEPT: Vector quantities are those quantities which have both magnitude and direction because…

Q: The velocity of a rocket is given as a function of time by  v(t) = A(1 – e-bt) for 0 , t , 30 s,…

A: Given velocity v(t) = A(1 – e-bt)........(1) a. we can see the unit of A is same the unit of v  and…

Q: You are exploring a planet and drop a small rock from the edge of a cliff. In coordinates where the…

A: we have to understand the graph.

Q: You walk 60 meters to the North and 60 meters to the West. Find the magnitude, direction, and sense…

A: d1 = 60 m (north)d2 = 60 m west magnitude of displacement = 602 + 602 = 602 m = 84.85 m DIrection =…

Q: In my assignment, I was asked to perform a lab experiment. I was to take a provided ball and roll it…

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Q: A displacement vector points in a direction of θ = 15° left of the positive y-axis. The magnitude of…

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Q: On the v(t) graph, what does the y-intercept represent?

A: A velocity-time graph will show the speed and direction of an object in motion over a specified…

Q: A postal employee drives a delivery truck over the route shown in Fig. E1.25. Use the method of…

A: Given data: A road track is given for the motion of truck.

Q: art (a) How long is the object in the air in seconds? umeric : A numeric value is expected and not…

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Q: The acceleration of an object moving through a viscous fluid (like honey) is a = -bv / m, where v is…

A: Option a.) Kg/s

Q: The position-time graph that describes the motion of an object is given as in the figure below. if…

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Q: n object's velocity as a function of time in one dimension is given by the expression; v(t) = 2.71t…

A: Object's velocity as a function of time is Find:Object's velocity at time

Q: (a) Number (b) Number i 3.36 i 1.80 Units m/s Units m/s

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Q: The parade runs north for 1.8 mi then heads 20 degrees S of east for 1.4 miles.  What  is the…

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Q: scalar or vector.

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Q: In a time of 2.86 h, a bird flies a distance of 83.7 km in the direction of 32.9 degrees East of…

A: The objective of the question is to find the y-component of the bird's average velocity. The bird's…

Q: The speed limit on some interstate highways is 127 km/h. What is the correct procedure for…

A: Speed limit on interstate highways = 127 kmhrTo find : the procedure for converting km/hr to m/s

Q: so that a car travels horizontally for 172 ft, then climbs 117 ft at an angle of 32.0° above the…

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Q: A room has dimensions 12 ft × 14 ft × 16 ft. A fly starting at one corner ends up at a diametrically…

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Q: A microorganism swimming through water at a speed of 150 \mu m/s suddenly stops swimming. Its speed…

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Q: While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote…

A: Given Data: First leg of displacement (A→) = 160 m, south.Second leg of displacement (B→) = 260 m,…

Q: The displacement of a particle is given by s = 3t° - 42t2 + 109t - 39 where s is in feet and t is in…

A: Given:  The displacement of the particle (s) is s=3t3-42t2+109t-39 The rate of change of…

Q: Figure 1 shows the velocity-time graph of a person moving along one straight path called the x-axis.…

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Q: x (m) Position as a function of time t = 4.00 s 40 20 (s) 0.0 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.6…

A: Position time, velocity time and acceleration time graph are given.

Q: Two identical pucks, A and B, slide over a level ice floor without friction. Initially, puck B is…

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Q: The speed S (m/mi-) of an object is defined by S = 6t² + 2t + 3 after t minutes. For the first one…

A: The speed of the object is given by the expression s=6t2+2t+3 where t is in minutes. After t=1 min…

Q: The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is…

A: Given Data : The function of velocity is given as vt=t2-7t+10 The displacement of the particle in…

Q: A car starts moving at time t=0 and goes faster and faster. Its velocity is shown in the following…

A: To determine the distance traveled by car during the first 12 seconds. We will divide the time…

Q: Morty is supposed to meet up with Rick, who is 50 mi north and 100 mi east of Morty,after exploring…

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Q: Suppose you first walk 9.5 m in a direction 20.0° west of north and then 17.5 m in a direction 40.0°…

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Q: A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The…

A: Given: u=63ft/s, d=70ft (a) The trajectory of the football is found by : h=ut+12gt2 At the highest…

Q: where x is the A rocket is launched following the path h horizontal distance and h is the vertical…

A: Given data: Path of the rocket, h2=643x+11/2 Vertical speed of the rocket, dhdt=12 mi/s Height, h=1…

Q: A toy car moves along a flat table, and a meter stick is used to mark its position at different…

A: Given: Initial position of toy on meter stick xi = 5.0 cm. Final position of toy on meter stick xf =…

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A:

Q: Which of the following statements is incorrect? Distance and displacement are always equal in…

A: Distance is a scalar quantity whereas displacement is a vector quantity. S.I. unit of both distance…

Q: The kinematic equations can describe phenomena other than motion through space and time. Suppose x…

A: The kinematic equations have applications beyond describing motion in space and time. Consider a…

Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

A: Given: x=(18.0 m/s)ty=(4.0 m/s)t-(4.90 m/s2)t2

Scalars and Vectors

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