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Question 2 Consider an object that is projected into the air at an angle of 0 with an initial speed v. The object's parabolic path
Question 2 Consider an object that is projected into the air at an angle of 0 with an initial speed v. The object's parabolic path can be modeled with the parametric equations x(t) = (vcos(0))t + 0 is the horizontal distance traveled and h(t)= 7 gt + (usin(0))t + ho is the height of the object Where gravity is represented by g, the initial horizontal position is To and the initial vertical heiht is ho When the units are in meters, gravity is 9.8 meters per second 2. When the units are in feet, gravity is 32 feet per second 2. Use this information to answer the following problem. Harold is tossing a pumpkin off of a cliff of height 54 meters and a rate of 7 meters per second. He tosses it at an angle of 47 degrees above horizontal. Find the parametric equations for the position of the pumpkin at time t seconds. Assume that t = 0 seconds is when Harold tosses the pumpkin. And let the horizontal distance at t = 0 be 0. If (t) is the horizontal distance the pumpkin has traveled at time t and h(t) is the height of the pumpkin above the water.tion Of the pumpkin at time t seconds. Assume that t = 0 seconds is when Harold tosses the pumpkin. And let the horizontal distance at t = 0 be 0. If x(t) is the horizontal distance the pumpkin has traveled at time t and h(t) is the height of the pumpkin above the water. O D Please round all coefficients to 4 decimal places. x (t) meters h (t ) = meters How far in the horizontal direction has the pumpkin traveled when it hits the water?Please round all coefficients to 4 decimal places. x(t) meters h(t) : meters How far in the horizontal direction has the pumpkin traveled when it hits the water? meters Be sure to upload your work here: Edit . Insert . Formats . B IU X X A A Activity Week 10 10 points possible 1/3 answered Question 3 If the ellipse graphed here: -5 -4 -3 4 5 has parametric equations of the form: x(t) = a cos(t) y(t) = b sin(t) then a = and b Submit
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