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 one hundred 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 = −3.82 ✕ 102 $/month2.  Assuming a is constant, find the amount of time in months until the bank account is empty.    ?months

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 graph of x vs. t4, with x on the vertical axis and t4 on the horizontal axis, is linear. Its slope…

A:

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: A skeir of mass 115 kg travels down a ski trail. Suppose the ski trail is not frictionless.  a) if…

A:

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

A:

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

A:

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

A:

Q: A car covered 25 km, 69 degrees north of east (VECTOR A) on its initial route. Afterwards, it…

A:

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…

A:

Q: I have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins…

A:

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

A:

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: 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…

A:

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

A:

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

A:

Q: scalar or vector.

A:

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…

A:

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

A:

Q: If you make multiple measurements of your height, you are likely to find that the results vary by…

A:

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

A:

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: 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: 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…

A:

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

Q: The position of a moving particle in vortex is expressed as, x(t) = x0 sin(at3 + bt3/2) where x0is…

A: x(t)=x0Sin(at3+bt3/2)Sin is a transcendental function. Its argument has to be dimensionless.Since…

Q: A jogger runs 77 meters in a direction 20 degrees east of north (Ajand then 27 meters in a direction…

A: Given  A=77m β=20 B=27 α=35

Q: the earth is approximately 1.5x10^8 km from the sun. how many minutes does it take light to travel…

A: Speed of light is Distance between the Earth and sun is Note:Find:Time taken by light to travel from…

Q: The speed of propagation of the action potential (an electric signal) in a nerve cell depends…

A:

Q: If you make multiple measurements of your height, you are likely to find that the results vary by…

A: The height of a guy in feet and inches must be converted into metres with significant figures.

Scalars and Vectors

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