A golf ball Is hit off a tec at the edge of a cliff. Its x and y coordinates as

Question

A golf ball Is hit off a tec at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 19.6t and y = 3.76t - 5.01t2, where x and y are in meters and t is in seconds. Write a vector expression for the ball's position as a function of time, using the unit vectors i and). (Give the answer in terms of t) By taking derivatives, do the following. (Give the answers in terms of t.) obtain the expression for the velocity vector V as a function of time. obtain the expression for the acceleration vector a as a function of time Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.73 s. m

Explanation / Answer

r = 19.6ti + (3.76t-5.01t2)j v = 19.6i +(3.76-10.2t)j (dr/dt = v) a = 0i +(-10.2)j (dv/dt)=a at 2.73 s r=53.508i+(-27.35)j (simple substitute) v = 19.6i+(-24.075)j a =-10.2j

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.