The coordinates of an object as a function of time are given by X= -0.31 t2 + 7.2 t + 28, and Y= 0.22 t2-9.1 t + 30 Find the position vector, velocity, and acceleration at t=15 seconds
Q: A squirrel has x- and y- coordinates (-2.0m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m) at…
A:
Q: A runner runs along the helix r(t) = (cost,sin t,t). When he isat position r( π/2), his speed is 3…
A: To find the acceleration vector
Q: An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 1.80s. It…
A:
Q: A ball is launched vertically upward with a speed of (21.0+A) m/s. Determine the speed of the ball…
A: Given: The initial speed of the ball is Vi =(21.0 +A) m/s. The height is h = (18.0 +B). A =15 B = 8
Q: A squirrel has x- and y- coordinates (-2.0 m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m)…
A: Given Coordinates at t=0 sec are (-2.0 m, 4.2 m) Coordinates at t=4 sec are (4.4 m, -1.8 m)
Q: (a) What is the magnitude (in km) and direction (in degrees south of east) of her displacement…
A: The distance moved by the person towards the south, The distance moved by the person toward the…
Q: A car moves along a horizonatal road with constant velocityv0 = v0, x^ii = (30.06 m/s)^i until it…
A: The objective of the question is to find the average acceleration of the car during the given time…
Q: Solve the following two equations for the (positive) time, t, and the position, x. Assume SI units.…
A: Given Information :x = 3t2 -----Equation1x = 45t + 63 -------Equation2
Q: Suppose a hiker walked 65 m, 25 degrees east of north. What are the x and y-components of his…
A: Suppose a hiker walked 65 m, 25 degrees east of north. What are the x and y-components of his…
Q: The position vector 7 = (4.30t)î + (et + ft²) locates a particle as a function of time t. Vector is…
A:
Q: A go The horizontal distance x from the starting point and the height y above the ground of the…
A: Given:- The initial velocity of the golf ball v0 = 66 m/s The angle of the projectile is θ=27o with…
Q: The best leaper in the animal kingdom is the puma, which can jump to a height of 10.8 ft when…
A: From the kinematics, the formula for the final velocity along the vertical direction is: Plug the…
Q: A jetliner, traveling northward, is landing with a speed of 68.2 m/s. reduce its speed to 7.16 m/s.…
A:
Q: A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of…
A:
Q: At time t=0, a jogger is heading due east with speed v=1.4 m/s. At time t1=3.0s, she is heading 0=42…
A:
Q: An object has position given by the vector r = [3.0m + (6.0m/s)t] i + [2.0m - (2.0m/s2)t2] j, where…
A:
Q: An ion's position vector is initially 7 = (-3,9 m )i + (-8.6 m )j + (-3.4 m )k, and 9.3 s later it…
A:
Q: I took 2.28km and converted it to 2280 meters then divided by 3200 and ended up with .71m/s but it…
A:
Q: A man is lost in a thick forest. Confused and clueless as to what direction to take, he walks a…
A: The net displacement should be zero. A+B+C=0 C=-(A+B) A=5cos25i+5sin25j=4.53i+2.11j…
Q: A particle is moving in three dimensions and its position vector is given by; r(t) = (4t² + 1.7t) î…
A:
Q: The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is…
A:
Q: Question 2: A particle has the following position vector 7 = Ae-ati + Bt³3+ Ct²k where A, a, B, and…
A: Position vector of the particle is, r→=Ae-αti^+Bt3j^+Ct2k^ Velocity is the rate of change of…
Q: = At time to = 0s, a jogger is heading due east with speed Vo = 1.4 m/s. At time t₁ = 3.0s, she is…
A:
Q: The position vector of a particle moving in the xy-plane is given by (At, Bt¹) r = where t is the…
A: Given:Position vector:r= (4.5t, 8.0t4) a) Magnitude of particle displacement at t = 2 s:r = (4.5t,…
Q: At time t = 0, the position vector of a particle moving in the x-y plane is r = 5.80i m. By time t =…
A:
Q: A particle r = (2t3+ 3t) i + (4 - 5t2) j - t4 k Position depending on time given position moves with…
A: Given quantities: position vector (r) = ( 2t3 + 3t ) i + ( 4 - 5t2 ) j - t4 k Let, the distance…
Q: A panther jumps to a height of 2.55 m when leaving the ground at an angle of 42.0°. What is its…
A: Concept: When an object through from the ground at an angle θ with the horizontal than the maximum…
Q: Solve the following two equations for the (positive) time, t, and the position, x. Assume SI units.…
A: Given Information :x = 3t2 -----Equation1x = 45t + 63 -------Equation2
Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…
A: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 11 images
- When chasing a hare along a flat stretch of ground, a greyhound leaps into the air at a speed of 12.1 m/s, at an angle of 27.0° above the horizontal. (a) What is the range of his leap and (b) for how much time is he in the air? (a) Number i Units (b) Number i UnitsA basketball is thrown and the motion is given by the equation h(t)=16t^2+32t+4ht=16t2+32t+4, where h is the height in feet and t is the time in seconds. Find the time, in seconds, when the basketball hits the ground. Round to the nearest tenth.Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t)=17t i +e^(t) j+e^(-t)k, v(0)=k, r(0)=j+k
- Taking north to be the positive y direction and east to be the positive x direction, a particle's position is given byr(t) = (20.2m/s)t^i+(5.15 m/s2)t2^jAt what time, in seconds, is the particle traveling exactly northeast?A mountain lion jumps to a height of 2.80 m when leaving the ground at an angle of 43.1°. What is its initial speed (in m/s) as it leaves the ground? m/sThe best leaper in the animal kingdom is the puma, which can jump to a height of 12.7 ft when leaving the ground at an angle of 50°. With what speed, in SI units, must the animal leave the ground to reach that height?
- A particle initially located at the origin has an acceleration of a = 1.00ĵ m/s2 and an initial velocity of ₁ = 6.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). tî + t²ĵ) m (b) Find the velocity of the particle at any time t. Î+ tĵ) m/s (c) Find the coordinates of the particle at t = 4.00 s. X = y = m m (d) Find the speed of the particle at t = 4.00 s. m/sAt an air show, a jet plane has velocity components vx =695km/h and vy =415km/h at time 4.35 s and vx =938km/h and vy =365km/h at time 7.52 s. Please answer A,B,C,D Thank you.Chapter 02, Problem 10 In reaching her destination, a backpacker walks with an average velocity of 1.26 m/s, due west. This average velocity results, because she hikes for 6.62 km with an average velocity of 2.54 m/s due west, turns around, and hikes with an average velocity of 0.381 m/s due east. How far east did she walk (in kilometers)? dw VE West East dɛ Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work
- Please asapA runner, jogging along a straight-line path, starts at a position 60.0 m east of a milestone marker and heads west. After a short time interval he is 15.7 m west of the mile marker. Choose east to be the positive x-direction. What is the runner’s displacement from his starting point? Enter a positive value if the displacement is toward east of the milestone and a negative value if the displacement is toward west of the milestone.Use the given acceleration function and initial conditions to find the velocity vector v(t), and position vector r(t). Then find the position at time t = 3. a(t) = 8i + 4k v(0) = 5j, r(0) = 0 v(t) = r(t) = r(3) =