A moderate wind accelerates a pebble over a horizontal xy plane with a constant acceleration a= (4.0i+6.0/) m/s. At time t-0. the velocity is (3.01) m/s. What are the (a) magnitude and (b) angle of its velocity when it has been displaced by 11.0 m parallel to the x axis? (a) Number (b) Number Units Units
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- 1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an angle of 50.0° with respect to the + x direction. It also has an initial velocity of vi = 7.00 m/s at an angle of 10,0° The object begins at the coordinates (0, 0). a) What are the coordinates of the object at t = 7.00 s? Want Cx, y) at t =?4 4tzテメ0チ=XT vse this Con Vxi = \V;l cos v +ハ Ay=lalsin Ga b) What is its total velocity vector of the object as a magnitude and direction at t = 7.00 s? a) Ov= TonTaking 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 cyclist accelerates from rest along a straight, horizontal path for a time taccel = 14s at a rate of a = 1.3 m/s2. What is the magnitude of the displacement, in meters, for the cyclist during that time interval?
- The acceleration of a particle is a = (5.00 i - 7.00 j) m/s^2. At t = 0, the particle leavesthe origin with an initial velocity v0 = (4.00 i + 1.00 j) m/s. (a) What is the y-coordinate of the particle when its x-coordinate reaches 2.00 m? (b) What are the magnitude and direction of the particle's velocity when its x-coordinate reaches 2.00 m? Draw this velocity vector.A train at a constant 61.0 km/h moves east for 25.0 min, then in a direction 54.0\deg east of due north for 24.0 min, and then west for 35.0 min. What are the (a) magnitude and (b) angle (relative to east) of its average velocity during this trip?Mt. Asama, Japan, is an active volcano. In 2009, an eruption threw solid volcanic rocks that landed 1 km horizontally from the crater. If the volcanic rocks were launched at an angle of 44° with respect to the horizontal and landed 905 m below the crater, find the following. (a)their initial velocity (Enter the magnitude in m/s.) (b)their time of flight (in s)
- A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t= 0s, the x components of the puck's initial velocity and acceleration are Vox = +1.4 m/s and a, = +7.5 m/s2. The y components of the puck's initial velocity and acceleration are Voy =+9.2 m/s and a, = -6.4 m/s?. Find (a) the magnitude v and (b) the direction 8 of the puck's velocity at a time of t= 0.50 s. Specify the direction relative to the +x axis. (a) v= i (b) 0 = degrees the +x axisThe velocity of a particle moving in the xy plane is given by = ( 5.50 r- 5.00 P)i + 9.00). with V in meters per second and t- 0l in seconds. At t-1.40 s and in unit-vector notation, what are lal the xcomponent and (bi the y component of the acceleration? ) When of ever) is the acceleration zero? (d) At what positive time does the speed eoual 100 ms? 1 unit (al Number } unit This anwer hannunts degrees Number O Number Unit (d) Number Unit Hint Pa GO Tutorial Save for Later times Attempts: unlimited Smit ArrA soccer ball is kicked from the ground with an initial speed of 18.9 m/s at an upward angle of 48.1. A player 48.4 m away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground? Neglect air resistance.Use g-9.81 m/s². Number 4.32 Unit m/s
- Current Attempt in Progress In reaching her destination, a backpacker walks with an average velocity of 1.41 m/s, due west. This average velocity results, because she hikes for 6.94 km with an average velocity of 2.42 m/s due west, turns around, and hikes with an average velocity of 0.638 m/s due east. How far east did she walk (in kilometers)? VW 71 Number i West Units dw VE East dEPlease asapA puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are vox = +2.2 m/s and ax = +7.2 m/s². The y components of the puck's initial velocity and acceleration are Voy = +9.7 m/s and a, = -1.7 m/s?. Find (a) the magnitude v and (b) the direction 0 of the puck's velocity at a time of t = 0.50 s. Specify %3D the direction relative to the +x axis. (a) V = (b) 0 = degrees the +x axis