The position of a running fox is given by 7 = [(0.280 m/s)t + (0.0360 m/s²)t²]î + (0.0190 m/s³)t33. Find the magnitude and direction of the velocity of the fox at t = 5.00 s.
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- Vectors u = −10i + 3j and v = −7i − 9j. What is u − v? a −17i − 6j b 17i + 6j c 3i − 12j d −3i + 12jThe equation r(t) = ( sin t)i + ( cos t)j + (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. π Then write the particle's velocity at t= as a product of its speed and direction. The velocity vector is v(t) = (i+j+ k.1.5 Scalars and Vectors Find the speed and direction of an object with vy 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from the +x axis O 5.0 cm/s, 34° from the +x axis O 3.6 cm/s, 34 ° from the +x axis O 3.6 cm/s, 66° from the +x axis O 5.0 cm/s, 66° from the +x axis Submit Answer Save for Later X %24
- A rocket takes off from a launchpad on the moon at y = 0 m. The velocity of the rocket is given by the equation: v(t)=1.20(22)+0.450(22)^2 Where all the quantities are in base S.I. units. On the moon, air resistance is negligible and the acceleration due to the moon's gravity is 9moon = 1.63 m/s^2. The rocket boosters are unable to reignite. Determine the total flight time of the rocket from the initial launch until it hits the ground. a) 329 seconds b) 307 seconds c) 14.5 second d) 44.0 secondsThe velocity of a rocket is given as a function of time by v(t) = A(1 – e-bt) for 0 , t , 30 s, where the constants A = 150 and b = -0.15. [ d/dx (e-ax dx) = -a e-ax; ∫ e-ax dx = -1/a e-ax ] a) What are the SI units of A and b? b) What is the speed of the rocket at t = 10 s? c)Find the displacement of the rocket in the first 10 s ( from t = 0 s to t = 10 s)the coordinates of an object moving in an xy plane vary with the time according to the eqations x=-7.85 sin w(omega)t, and y=4-7.85 cosw(omega)t. W(omega) is constant , x,y - in meters. And t in seconds. Write expressions for the possition,velocity and acceleration vectors of the object at any time t>0.
- Two vectors are given by đ = 1.3î + 1.8ĵ and b = 7.9î + 1.6j. Find (a) đ x b (b) ở . b ,(c)(a + b and (d) the component of d along the direction of b ? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number Units > > > >Given the following vectors: A = -3i; B = i-3j+5k; and C = 7i-15j (i)Find the magnitude and direction of A+C (ii)Find the magnitude and direction of -1.33A + 0.4C. (iii) Find CxBThe acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/s
- An object's velocity as a function of time in one dimension is given by the expression; v(t) = 2.71t + 7.88 where are constants have proper SI Units. What is the object's velocity at t = 4.19 s?An object's velocity as a function of time in one dimension is given by the expression; v(t) = 3.8t + 6.68 where are constants have proper SI Units. At what time is the object's velocity 61.2 m/s?A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 17.2t and y = 4.16t − 4.90t2, where x and y are in meters and t is in seconds. Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.18 s.