Two soccer players are practicing for an upcoming game. One of them runs 10 m from point Al to point B (let's say this is along the positive x-axis). She then turns left at 90 and runs 10 m until she reaches point Cl. Then she kicks the ball with a speed of 18| m/sec at an upward angle of 50P to her teammate, who is located at point A. Write the velocity of the ball in component form. V A 10 m 10 m

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Q: a) Eliminate the parameter to find equation for..! a Cartesiar X = 2t -1, y=#t+|

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 1- Find the equation of the tangent to the 2(x? + y?)² = 25(x² – y2) at (3,1) Cind In(tam (3.2)

A: The given equation of the curve is2x2+y22=25x2-y2to find equation of tangent at (3, 1)

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A: Use the distance formula then minimise using derivative.

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A: s(t)= 6+13t+8t^2 ds/dt = v = 13+16t v= 13+ 16(52) v= 13 + 832 v= 845.

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A: s(t)=2t³-9t meter  (a) Velocity=v(t)= d/dt(s(t)) v(t)=d/dt(2t³-9t) v(t)=6t²-9 Velocity at t=5 second…

Q: c, d

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A: Given:

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A: Given, Velocity function of a particle in motion is given by  v→t = 3t2 i→+ t+12 j→ + e2t+1 k→ To…

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A: Please see the answer in step 2

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A: topic:- application  of derivatives

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A: Solution is given as below:

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Q: . For what value(s) of x is the tangent to y = 5 (3x-12)4 horizontal? A) -103, 680 B) -4 C) 4 D)…

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A: Distance =S2 -S1

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Q: An airplane is flying in the direction 25° west of north at 800 km/h. Find the component form of the…

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A: Let's find.

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Q: An object moves in such a way that its velocity (in meters per second) after time t (in seconds) is…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.