A particle's position as a function of time is given by r(t) = 6 t3 i - 13 t2 j (m). Calculate the speed of the particle at t = 2 s. (Please answer to the fourth decimal place - i.e 14.3225)
Q: Given vector E = 2i+3j, a unit vector in the direction of E is
A: Given data: Vector, E→=2i+3j Our question is to find the unit vector in the direction of the given…
Q: The position of an object at time is given by the parametric equations . x= 4t^2+2t , y=3t^2+4 Find…
A: The position of the object at time in x and y direction is given by, x = 4t^2 + 2t y = 3 t^2 +4 t…
Q: A basketball starts from rest and accelerates with an acceleration of 0.395 m/s2 while moving down a…
A:
Q: The elevations of the ski jumping hill shown below are as follows: hA = 46 m hB = 2.4 m hC =…
A:
Q: A two pound weight is hanging in a system that has acheived equilibrium (not moving. Find 7₁ and 7₂.…
A: W= 2 lbs
Q: given the quantities a=4.6m, b=4.4s, c=75 m/s, what is the value of the quantity d=a^3/cb^2?
A:
Q: Find the Velocity v(t)=? and acceleration a(t)=? for the position function s(t)=10t^2−4t+7 at t=2sec
A: Given: position function s(t)=10t^2−4t+7 To find: At t=2 s, Velocity v=? acceleration a=?
Q: Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of…
A: an object is dropped from a height, h = 25.8 m
Q: Consider two vectors, A = 16.1 m at 44.0°, and B (-9.70î + 3.70j) m. Determine the x and y…
A:
Q: “An object is moving at a speed of v(t)= 3(t^2-1)+5tan (7t), where V is in m / s and t in seconds.…
A: Given V(t) = 3t2 -3 +5tan(7t) The acceleration si A(t) = ????
Q: If an egg is dropped from rest and takes 0.8 seconds to hit the ground, what is the height, in…
A: Given Data: The time taken by egg to hit the ground is: t=0.8 s The gravitational acceleration is:…
Q: The elevations of the ski jumping hill shown below are as follows: hA = 46 m hB = 2.4 m hC = 6.8 m…
A:
Q: A vector has an x-component of - 25.0 units and y-componet of 40.0 units. Find the magnitude and…
A:
Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…
A:
Q: 4.3**5. A car traveling 30 m/s due east turns a smooth corner and heads northeast. The car…
A: The average acceleration is,
Q: A bottle dropped from a balloon reaches the ground in 50.0 s. What was the height, in meters, of the…
A:
Q: The motion of a particle is defined by the relation x = r° – 9² + 24t – 8, where x and t are…
A:
Q: If the speed of a vehicle increases by 22%, by what factor does its kinetic energy increase? Kinetic…
A: Given data: The speed of vehicle increases by 22% Required: The increase in kinetic energy
Q: Giovanni is a brave explorer visiting an unexplored planet. his duty is to collect data on the…
A:
Q: Find the speed and direction of an object with v,x-18 m/s and vy- 30 m/s. %3D O 24 m/s, 66 ° from…
A:
Q: How far horizontally (in m) does the rock hit the ravine from your location?
A: The point at which path of rock cut the path of ravine will be the hitting point.
Q: This graph describes the motion of a car. (a) What is the instantancous acceleration at (i) t 3.0 s,…
A:
Q: The Moon is about 3.8 ✕ 108 m from Earth. Traveling at the speed of light, 3.0 ✕ 108 m/s, how long…
A: Given: The distance of the moon from the earth is 3.8x108 m. The speed of the light is 3x108 m/s.
Q: At t = 0 an object starts from the origin and moves with a constant acceleration of a = ( − 4.72 –…
A:
Q: An object has a velocity given by i = (5.0 – 12j) m. How fast, and in what direction is the object…
A: Given velocity is v=5i^-12j^
Q: GIVEN: A = 3.0i + 4.0j + 2.0k B = 5.0i + 2.0j…
A: Given: A = 3.0i + 4.0j + 2.0k B = 5.0i + 2.0j C = 2.0i + 3.0j
Q: A stone is dropped from the upper observation deck of a tower, 750 m above the ground. (Assume g =…
A:
Q: An electron's position is given by = 4.00tî - 5.00t2 j + 6.00k, with t in seconds and r in meters.…
A:
Q: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of i = (3.00 i…
A:
Q: Suppose that an object's position vector as a function of time is given by r(t) = 15 cos(10.5 t) i +…
A: Given : The function for the position of an object is, rt=15cos10.5ti+15sin10.5tj
Q: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…
A:
Q: The elevations of the ski jumping hill shown below are as follows: hA = 49 m hB = 3.5 m hc = 5.2 m…
A: GivenhA=49 mhB=3.5 mhc=5.2 mvB=25.4 m/s
Q: 12.13. A car moves along the path seen below. At t = 2.0s the car is at A and has velocity ³₁ =…
A:
Q: A parked police car takes off after a suspect and reaches 65.6 km/h in 6.49 seconds. What was the…
A: Given data: Average velocity of the car, ∆v=65.6 km/h Time taken, t=6.49 s Our question is to find…
A particle's position as a function of time is given by r(t) = 6 t3 i - 13 t2 j (m). Calculate the speed of the particle at t = 2 s.
(Please answer to the fourth decimal place - i.e 14.3225)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- An object's position is given by r(t) = [a + ßt] î+ [y+ot²] 3 where • d = 2.86 m B 3.5 m/s • Ύ 3.15 m • σ = -4.1 m/s² t = 7.2 s = What is its speed v at t = 7.2 s?A runner with a good awareness of her pace runs along a path of unknown length at a speed of 0.1250.125 mi/min and then walks back to her starting point at a speed of 0.04500.0450 mi/min. She neglects to note her time for each part of her path but does measure the total round-trip time to be 50.050.0 min. How far did she run? (Do not include walking distance.)A rotating fan completes 1180 revolutions every minute. Consider the tip of a blade, at a radius of 20.0 cm. (a) Through what distance does the tip move in one revolution? What are (b) the tip's speed and (c) the magnitude of its acceleration? (d) What is the period of the motion? (a) Number i Units (b) Number i Units
- A ball of 5kg is shot vertically upward with 19.6m/s. What is the maximum height it can reach (in meter)?I know the answer. But it comes out as cos^-1(12/25)dms 1.07, how does the angle 61 degrees come out?Part (a) Do this for the range r > R. E = _____ Part (b) Do this for the range r < R. E = _____
- The elevations of the ski jumping hill shown below are as follows: hA = 49 m hg = 3.5 m hc = 5.2 m If the velocity of a ski jumper is measured to be 25.4 m/s at position B, what will be the launch velocity (in m/s) at position C [round your final answer to one decimal place]? A hA C B hc nBIn SI units, an object's position is given by [4t, 3t, 5] . What the object's velocity at t=0? An object's position is given by [4t, 3t, 5]. What the object's speed at t=0? An object's velocity is given by [2, 3, 5] m/s. What the object's acceleration at t=0?An airplane left an airport and flew 105 mi in the direction of N 50.4000 deg E, then turned and flew 493 mi in the direction of S 11.9000 deg E. How far (mi) and in what direction should it return to the the airport?