An object moves in two dimensions according to this position vector as a function of time...
3. An object movea in two dimenaiona according to thia poaition vector aa a function of time F(t) 20ti + 45tj - 4.9tj (in metera) a. Determine the velocity of the object aa a function of time b. Determine the object'a initial apeed at t0 a o. Show that the polar angle giving the direction of the object'a initial velocity ia 66 d. What ia the object'a acceleration vector at t- 3 a? e. How far in the x-direction does...
3. An object movea in two dimenaiona according to thia poaition vector aa a function of time 7(t) 20ti + 45tj-4.9t2j (in meters) What ia the object'a maximum, poaitive y poaition? Anawer: 103 m 4. A Hollywood movie company needa technical aupport for a atunt Tom Cruiae wants to perform. Cruiae (modeled aa a dot) muat run off the roof of one building and juat barely reach the corner of a lower building. See the following figure Develop the equation...
e. Once we choose a set of coordinatea, we can how much of a given vector liea along one of the coordinate axes. The portion of a vector that lies along an axia ia called 최 component vector and it too ia vector. However, vector's component is acalar which . The poaitive or negative aign indicatea whether the aasociated component veotor pointa in the agreed upon poaitive or negative coordinate direotion. Confuaed? Here ia an example. Fill one word into...
Introductory phyaica textbooka uaually contain examplea ahowing the poaition veotor for projectile motion. However, few diacuaa the poaition vector for uniform circular motion. Here, uniform meana the object of intereat movea in a circle of conatant radiua and conatant angular apeed (or a conatant period of revolution). The lower-caae, Greek letter omega ia used for angular apeed: ω (in radiana per second). Consider an object revolving in orole and located by the folloving position vector: F(t)-a cos(ut)i + asin(wt)j (in...
The position vector for a beetle running across a table is 2. The poaition veotor for a beetle running acroea a table ia a. Caloulate the magnitude of the beetle's average velooity between t-0 and t 2 b. Caloulate the direotion of the beetle'a average velooity between t-0 and t 2 a. Anawer with the COW polar angle from a poaitive a-axia. Anawer: 63.4° o. Caloulate the inatantaneous apeed of the beetle at t- 2a. Anawer: 3.5 om/a
9. Introduotory phyaios textbooka uaually oontain examplea ahowing the poaition veotor for projectile motion. However, few dinousa the poaition veotor for uniform eiroular motion. Here, uniform meana the objot of intereut movea in a oirole of conatant radiua and conatant angular apeed (or a conat ant period of revolution). The lower-oase, Creek letter omega ia used for angular apeed: o (in radiana per aeoond). Conaider an objeot revolving in a oirole and located by the following Poaition vector: r(t) =...
1. Show all the atepa neceasary to convert 2.00 kilometera into milea atarting from 2.54 cm 1 inch. Explicitly ahow how the intermediate unita divide out in the converaion. 2. A poaition veotor ia alwaya drawn with ita tail at the origin. It haa unita of length and it locatea a point in a choaen coordinate ayatem. A diaplacement veotor ia drawn with ita tail anywhere in the coordinate apace. Diaplacement vectora alao have unita of length and repreaent the...
Please let me know questions 3 through 9. 1. Show all the atepa neceasary to convert 2.00 kilometera into milea atarting from 2.54 cm 1 inch. Explicitly ahow how the intermediate unita divide out in the converaion. 2. A poaition veotor ia alwaya drawn with ita tail at the origin. It haa unita of length and it locatea a point in a choaen coordinate ayatem. A diaplacement veotor ia drawn with ita tail anywhere in the coordinate apace. Diaplacement vectora...
1. A marble (small glaaa ball) rolla aeroaa & table that is not level. At t = 5a, the ball haa componenta of velocity: 2.45 om/a and 3.50 cm/a. From t0 to 10 a the ball haa an acceleration of magnitude 0.09 cm/a2 in a direction 41.4° COW from the poaitive a- a. At t 10 a, what is the ball's 2-velocity component? b. At t = 10 a, what is the ball's g-velocity oomponent? o. At t = 10...
1. Show all the atepa neceasary to convert 2.00 kilometera into milea atarting from 2.54 cm 1 inch. Explicitly ahow how the intermediate unita divide out in the converaion. 2. A poaition veotor ia alwaya drawn with ita tail at the origin. It haa unita of length and it locatea a point in a choaen coordinate ayatem. A diaplacement veotor ia drawn with ita tail anywhere in the coordinate apace. Diaplacement vectora alao have unita of length and repreaent the...