A point moves in a circle at a constant speed of 35cm/sec. The period of one complete journey around the circle is 20sec. At t = 0 the line to the point from the center of the circle makes an angle of 30° with the x axis. a) Obtain the equation of the x coordinate of the point as a unction of time, in the form x = A cos (ωt + φ), giving the numerical values of A, ꞷ and φ. b) What are the values of x, dx/dt, and d2x/dt2 at t = 4 sec.

Q: An explorer walks 19km due east, then 15km north, and finally 4km west. A) What is the total…

A:

Q: Using the absolute values of West and South to be negative and North and East to be positive…

A: First we trace the directions and the distances taken. Then we find the shortest distance from the…

Q: An object moving at constant speed v around a circle of radius rhas an acceleration a directed…

A: Relation between acceleration and velocity can be express as -  a=v2r Where,  a = Acceleration  v =…

Q: You want to convert the speed km/h into m/s for a physics problem. Which of the following could act…

A: Given:  Km/h into m/s

Q: You take a three-day hiking. On the first day, you travel 5.0 km heading East. On the second day…

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 particle moves along the h-axis (dimension of length) so that: h = t3 - 3t2 - 45t (in feet, where…

A: the equation of particle along the h-axis is given by h(t) = t3 - 3t2 -45t  ------- (1) to determine…

Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

A:

Q: During her recent trip to the grocery store, Claire walked 14m,North to the end of an aisle. She…

A: This question is based on motion in a straight line topic. Displacement is the shortest distance…

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

A:

Q: Problem 2: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the…

A:

Q: Where a>b the distance between the points (a, c) and (b, c) is (a-b) units. true or false

A: Given that a > b. We have to find distance between points (a, c) and (b, c).  Take c as origin.

Q: Alishba wakes up late and runs to school, covering a distance of 2.55 km in a direction of [N200 E]…

A: Alishba runs to school, covering a distance of 2.55 km in a direction of [N200 E].She then goes to…

Q: To visit your favorite ice cream shop, you must travel 420 mm west on Main Street and then 970 mm…

A: Given data:  Displacement (d1) = 420 m, towards West Displacement (d2) = 970 m, towards South…

Q: A delivery man starts at the post office, drives 35 km north, then 25 km west, then 50 km northeast,…

A: First leg of displacement of delivery man (d1) = 35 Km due north Second leg of displacement of…

Q: our car speedometer has an uncertainty of 4.8 km/h at a speed of 95 km/h. What is the percent…

A: speed of car= 95 km/hr Uncertainity = 4.8 km/hr

Q: The position of a moving particle in vortex is expressed as, x(t) = x0 sin(a√t + bt^2) where x0 is…

A: An equation holds correct if the dimensions of the quantities involved in both sides of the equation…

Q: As a person drives along the the highway, they decide to measure the distance between each light…

A: Given information: The speed of the car (v) = 60 mile/hour…

Q: Consider two vectors.  a=19.5x+17.5y b=3.9x-4.5y    what is the angle of the vector a-b…

A:

Q: ow much time t (in seconds) does it take light to travel from the Moon to the Earth, a distance D =…

A: Given that                 The distance between the earth and the sun is (d) = 384,000Km =…

Q: A bottle rocket is launched straight up. Its height in feet (y) above the ground x seconds after…

A: Given: The equation of motion is given as, y=-16x2+124x+8

Q: An object is dropped from rest and takes 2.83 seconds to reach the ground below. From what distance…

A: Given Data: The initial velocity of an object is, u=0 m/s The time required to reach below the…

Q: A student went to Wonderland, where they lined up for the Leviathan roller coaster. After waiting 2…

A: To calculate from Displacement-time graph, Draw a tangent at the point at which instantaneous…

Q: An athlete runs 1-laps around a circular track of radius 20 m in 0.83 minutes. All questions must be…

A: The radius of circular track, R=20 m Distance covered in 1 lap = 2×π×R= 125.66 m

Q: Consider a track in the shape of a perfect circle of radius 1 kilometer. A biker rides…

A:

Q: Arvin the Ant was on a picnic table. He traveled 30 cm eastward, then 25 cm northward and finallyX…

A: Please see the attached image for the solution.If there are queries or if the image is not loading,…

Q: If A = 3i + 3j and B = 7i + 5j, what is the magnitude of C = A - B

A: Write the given vectors below. A=3i^+3j^B=7i^+5j^

Q: PROBLE A surveyor walks as shown in the figure then due south for 10.0km. What is his total…

A: Q 1) The ratio of distance moved is South and East is 2:3. Let them be 2x towards south and 3x…

Q: water balloon is catapulted into the air so that its height h, in meters, after t seconds is =49+2…

A:

Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2.  (Assume…

A: Given,x(t) = -200 ((t+1)-1)+6t2t = 3 s

Q: At a given instant A has the motion shown in (Figure 1). Figure 3 ft -1.5 ft- VA=3 ft/s -X A=6 ft/s²…

A: The disk doesn't slip. So that

Q: Using the answers from Question 1(a), determine the solutions of the equation (x+1)* = 16(x–1)*…

A: The given equation is: x+14=16x-14 Now, solving the above equation as:…

Q: A hiker walks 2.5 km in the +x direction.  She then turns 44.7∘to her left, and proceeds 3.43 km in…

A: Given information: A hiker walks distance d1=2.5 km along the +ve x-direction. Then, turns 44.7° her…

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: CIA and NSA launched a hiring program to new agents: to crack the safehouse of the nuclear launch…

A: A rough sketch of the vector diagram for the provided displacements are:

Q: find the area velocity of a particle moving along the path r= a cos w t i + b sin w t j, where a, b…

A: The area velocity is given by  dA⇀dt=r⇀×dr⇀dt2 given that r⇀=acosωti^+bsinωtj^…

Q: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

A:

Q: An object is dropped from rest and takes 2.25 seconds to reach the ground below. From what distance…

A: Given : vo = 0 (because object is dropped from rest) y = 0 (because finally the object reaches the…

Q: [1] 1 + (1-161²) is the position of a particle in space at time t. Find the angle between the…

A:

Q: Instructions for finding a buried treasure include the following: Go 79.0 paces at 232deg, turn to…

A: first leg of displacement = 79 paces @ 232osecond leg of displacement = 138 paces @129othird leg of…

Q: ectonic plates are large segments of the earth's crust that move slowly. Suppose one such plate has…

A: Given that: Speed of Tectonic plates, v= 3 cm/year =3×10-2(365×24×3600)=9.51×10-10 m/s

Q: Which of the following is not true? ○ V1 (1) V2 (2) = V1 (2) ₂ (1) ○ V1 (1) V₂ (2) + ✨1 (2) ₂ (1) =…

A: If we take two Particles 1 and 2 and considering state ?1 and ?2 .

Q: Solve M„VN at (1,1-1) When M = (2yz)i – (x²y)j+(xz²)k and N = 2x?yz3

A:

Q: dx Given that the integral y²+x² a b с d I 4y Л 8y I 2y³ I == 2y the value of dx (y² + x²)² is

A:

Q: An object is dropped from rest and takes 2.41 seconds to reach the ground below. From what distance…

A: The height from which the object was dropped can be determined by the following kinematics equation.…

Q: Problem 1-17 Using the base units of the SI system, show that F = G(m,m¿)/r² is a dimensionally…

A: The equation of F can be given as, Here, m1 denotes the mass of the first object (in kg), m2…

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.