If a ball is thrown Into the air with a velocity of 47 ft/s, its height (in feet) after t seconds is given by y = 47t 16t2. Find the velocity whent = 2.
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- Problem 1: т Your bow can fire arrows at 70÷. You shoot an arrow straight up into the air. After 1 second, you shoot another S arrow into the air. a) If you are shooting the arrows from 2 m above the ground, how far above the ground do the arrows collide? (Answer: 251 m) b) What are the velocities of the arrows when they collide? (Answer: ỦA c) On a single graph, plot y-position vs time for each arrow. This should show the intersection of where and when they collide. -4.9ŷ" vB = 4.99) т SThe coordinate of an object is given as a function of time by.x(1)=7t-312, wherex in meter and t in seconds. Calculate the average velocity between t=0,and t=2 s. + 2 m/s - 2 m/s - 5 m/s + 1 m/s +9 m/sA pendulum bob is raised to a height 4.0cm and released from rest . What will be the velocity of the bob at the bottom of its swing .Express your ans in cm/s with 3 significant figures. ( please answer this within 30 mins )
- Vino 30. A ball is thrown from an initial height of 6 feet at a rate of 42 ft/s to someone standing on a roof 30 feet above the ground. Use the discriminant to determine if the ball will reach the person on the roof. Again, use the formula h = -16 + vt + c. a. yes bns analom d+x lo ritblw s.andtom A+x to rfipnol a esd olsq slugnstoos A E nilb art ptsq ert to anoianamib art bniA b. no Islo) s 5.016 maybe not enough information С. u pA 30 M m Thyd m ar d.An arrow is shot into the air and its height in feet after tt seconds is given by the function f(t)=−16t2+96tf(t)=−16t2+96t. Estimate the instantaneous velocity at t=2t=2 seconds using difference quotients with h=0.1h=0.1, 0.010.01, and 0.0010.001. If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer.A ball is thrown into the air by a baby alien on a planet in thesystem of Alpha Centauri with a velocity of 49 ft/s. Its heightin feet after t seconds is given by y = 49t −25t2.a.) Find the average velocity for the time period beginningwhen t0 = 1 second and lasting for the given time.t = .01 sec:t = .005 sec:t = .002 sec :t = .001 sec: b.) Estimate the instanteneous velocity when t = 1.
- The moticn of a ball scooped bya field hockus player can be moeleled by n=-16b^(2)+40b where b is the time in selends and h is the neignt of the ball. Will the ball ever reach 22 teat?If an object is shot upward with an initial velocity, v 0, in feet per second (ft/s), the velocity, v, in ft/s is given by the formula v= v0 −32t, where t is time in seconds. Find the initial velocity of an object if the velocity after 2 seconds is 28ft/s.I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down where I catch it at the same height it was released from. The distance the ball has traveled is meters. The displacement of the ball is meters. (use the proper number of sig figs in your answer given the provided information).
- Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In unit-vector notation ,what is its Vavg during the 10s?A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The coordinates of the rabbit’s position as a function of time t are given by: x = -0.3t2 + 5t + 28 and y = 0.22t2 - 8t + 30 with t in seconds and x and y in meters. What is the velocity at t= 10 sec?