The velocity of a particle constrained to move along the x-axis as a function of time t is given by: v(t)=−(19/t0)sin(t/t0) A:If the particle is at x=9 m when t=0, what is its position at t = 7t0. You will not need the value of t0 to solve any part of this problem. If it is bothering you, feel free to set t0=1 everywhere. B:Denote instantaneous acceleration of this particle by a(t). Evaluate the expression 9 +v(0)t+a(0)t2/2 at t = 7t0. Note that v(0) and a(0) are the velocity and acceleration at time t=0 C:Now assume that the particle is at x=0 when t=0, and find its position at t = 0.16t0. D:Evaluate v(0)t+a(0)t2/2 at t =0.16t0 to 3 significant figures. Your answers to parts (c) and (d) should be in good agreement. Try to work out why that is so before submitting the answer to part (d)

Q: External stimuli are communicated to the brain by means of electrical signals propagating along…

A: speed of electrical signals along nerve cells (v) = 34 m/s distance travelled by signal resulting…

Q: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and…

A: Hey, since there are multiple subparts posted, we will answer first three questions. If you want any…

Q: A new and powerful robotic aircraft is observed moving along a straight line parallel to the x axis.…

A:

Q: A point mass moving on a vertical line has an acceleration given by the equation a = 10t – 3. At t =…

A:

Q: A particles moves so that s = 2sin(Tt/5)t + 4 meters, where "t" is in seconds. Draw the v-t and a-t…

A: velocity v = ds/dt  acceleration a = dv/dt

Q: ne function s(t) describes the positi coordinate line, where s is in feet a t) = t³ – 15t², t > 0 )…

A: Velocity = ds/dt Acceleration =dv/dt

Q: The position of a particle in millimeters is given by s = 70 - 17t + t2 where t is in seconds. Plot…

A:

Q: The figure below gives the path of a squirrel moving about on level ground, from point A (at time t…

A: Given that, A(15,15) at t=0B(30,45) at t=6 min =360 sC(20,15) at t=12 min=720 sD(45,45) at t=18…

Q: A particle travelling along a straight road abide by the (v-t) graph shown. The initial displacement…

A:

Q: As part of a circus performance, a man is attempting to throw a dart into an apple which is dropped…

A: It is given that,time delay t=155 milli secInitial speed v0=12 m/s

Q: A grandfather is waiting for his grandchild, pacing back and forth in a straight line in a long…

A: Given:Grandfather walks from a given pooint as follows:A = 12 paces East, thenB = 5 paces West,…

Q: Pegs A and B are restricted to move in the elliptical slots due to the motion of the slotted link.…

A:

Q: A particle moves along the x-axis with position given by x(t) = 8 sin (t) – 1 for time t > 0. Find…

A: We are given the position as function of time. The particle is moving in 1 direction. Right…

Q: Att = 0, particle A is seen 38 m West of an origin 0 having a 10 m/s Easterly velocity and speeding…

A: a)Particle B is slowing down and particle A is speeding up that means they will meet after some…

Q: (d) When is the particle speeding up? Slowing down? Speeding up: 0 < t < 10 ▼ Slowing down: 0 < t <…

A:

Q: Whipple is beginning to feel as if he understands the concept of constant acceleration motion. After…

A: The equation of motion is given as:At a distance y, the final velocity is given as:The acceleration…

Q: Question 4. The velocity function of an object is v(t) =t3. Estimate the total distance the object…

A: Answer..

Q: The speed v ms=1 of a particle moving in a straight course at time t seconds is v = 9t² – 8t – 6.…

A: The speed of the particle is given as, v = 9t2-8t-6 The time interval is given as, 2 ≤ t ≤ 6 TO…

Q: At time t = 0, a particle is at rest in the x-y plane at the coordinates (xo, yo) = (3, 0) in. If…

A: The position of a body is a vector quantity, which means it has both magnitude and direction to it.…

Q: (✰✰✰✰) A particle moves along a line. At time t (in seconds), the particle's velocity is v(t) = -t²…

A:

Q: Given a particles position along the x-axis is described by x(t) = A t + B t2, where t is seconds, x…

A: Position of a particle is given as  ; here time  is in  and  is in Constants are  and Find:Velocity…

Q: Introduction to Calculus in Physics: Calculus is a powerful tool used in all areas of physics. One…

A:

Q: A particle moves along a straight line with a velocity in millimeters per second given by v =…

A: A particle moves along a straight line with a velocity in millimeters per second given by…

Q: The equation below gives the velocity of a particle that moves along a straight line. Find the…

A: Given information: The velocity of the particle as a function of time: v(t)=1sin(t)+1 We know that…

Q: Part (a) True or False: the acceleration of the car is constant? MultipleChoice : 1) True 2) False…

A: Hey, since there is multiple subpart question posted, we will answer first three questions. If you…

Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…

A:

Q: As part of a circus performance, a man is attempting to throw a dart into an apple which is dropped…

A:

Q: nt 2 1. Find the position x(t), velocity v(t), and acceleration a(t) at time t = 1, given that v(t)…

A: The given data are: vt=sinπt22t=1

Q: Consider a particle moving rectilinearly according to x = t° - 3t -45t m, where t is in sec. Draw…

A:

Q: A particle moving along the z-axis has its position described by the function x = (3t³ +4t+2) m,…

A: Position Function:

Q: Q1/ A partical has an acceleration gven by relation a = 0.3 V2v² + 36, where a and v are expressed…

A:

Q: velocity components

A: To obtain the time of flight, t, from the velocity components and y, we can use the following…

Q: As illustrated in the figure, a particle P moves on an x - y plane. In this motion, x( t )= 3 P in…

A: Given: Position of particle is xt=3t2 Acceleration is ayy=4 m/s2

Q: An object moves along the x-axis with its position x given as a function of time t by x (t) = Ct² –…

A:

Q: Pedro's initial position is   m. His position at ten seconds is   m. His speed at ten seconds is…

A:

Q: nt is crawling along a straight wire, which we shall call the from A to B to C to D (which overlaps…

A: Given AB = 44 cm BC = 20 cm AO = 4 cm

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.