The speed of a point is v = 2 i + 3T2 j (ft / s ) . At t = 0 its position is r = -i + 2j (foot) . Finding r t = 2 s
The velocity of a particle traveling in a straight line is given by v (6t-3t2) m/s, where t is in seconds. Suppose that s 0 when t0. a. Determine the particle's deceleration when t3.6s b. Determine the particle's position when t 3.6 s C. How far has the particle traveled during the 3.6-s time interval? d. What is the average speed of the particle for the time period given in previous part?
(1 point) Given the acceleration vector a(t) = (-4 cos (2t))i + (-4 sin (2t))j + (-3t) k , an initial velocity of v (0) =i+ k, and an initial position of r (0)=i+j+ k, compute: A. The velocity vector v (t) = j+ . B. The position vector r(t) = j+ k
question about linear algebra 21. The following two lines := -i+j+ k + t(2i - 2j - 2k), t e R r and y2 1 = 2 -1 intersect each other. What is the equation of the line (where s E R) passing through the intersection point of these two lines and perpendicular to both of them? r -ijk s(i - j - k) (a) (b) r i2j+3k + s(i - 2j + 7k) (c) (d) rsik) (e) =j-k s(i...
.y 2 Part A. A cruise ship is traveling at a speed of v 23.2 ft/s. A speedboat with a late passenger is heading toward the cruise ship at an angle of ? = 47.5° ; its speed is V2-38.0 . What is v, the magnitude of the speedboat's velocity relative to the cruise ship? 24.1 ft/s - 25.6 ft/s 26.1 ft/s - 27.2 ft/s
The path of a particle can be expressed as: r = 6t i + (3t2-4) j + 7 k, please determine the acceleration of this particle.
A proton moves with a velocity of v-(3i-j+k) m/s in a region in which the magnetic field is B - +2j-i)T. What is the magnitude of the magnetic force this particle experiences? A proton moves with a velocity of v-(3i-j+k) m/s in a region in which the magnetic field is B - +2j-i)T. What is the magnitude of the magnetic force this particle experiences?
QUESTION 8 The velocity of a particle is v-1 9 i + (3-2) j m/s, where t is in seconds. If r:0 when particle in the y direction during the interval t 1 sto t 4 s 0, determine the displacement of the QUESTION 8 The velocity of a particle is v-1 9 i + (3-2) j m/s, where t is in seconds. If r:0 when particle in the y direction during the interval t 1 sto t 4 s...
A) If a particle's position is given by x = 4 -11t + 3t2 (where t is in seconds and x is in meters), what is its velocity at t = 1.0 s? B) Is it moving in the positive or negative direction of x just then? C) What is its speed just then and is the speed increasing or decreasing just then? D) At what time is the velocity equal to zero and what is the position at that...
QUESTION 4 Given the equation of a point, r(t) ( I)i ( -I)j Sketch the graph of r(r) = (1 + l)i + (r2-Dj fr-2 2. Draw the (a) t 4 marks) position vector r(0) on the same diagram. b) Find the unit tangent vector of the point at 0 and show it on the same diagram in (a). Explain what you understand about the direction of the tangent (5 marks)
A drag racer accelerates at a(t) = 74 ft/s. Assume that v(O) = 0 and s(0) = 0. a. Determine the position function for t20. b. How far does the racer travel in the first 6 s? c. At this rate, how long will it take the racer to travel mi? 3 d. How long will it take the racer to travel 300 ft? e. How far has the racer traveled when it reaches a speed of 180 ft/s? a....