. Prove that the trajectory of a projectile is parabolic, havingthe form y = ax + bx2. To obtain this expression, solve theequation x = v0xt for t and substitute it into the expressionfor y = v0yt – (1 / 2)gt2(These equations describe the xand y positions of a projectile that starts at the origin.) Youshould obtain an equation of the form y = ax + bx2 wherea and b are constants

Q.2 A placekicker is attempting to make a 58 m field gonl. If the launch angle of the footbnl) is 40°, what is the minimum initinl speed V wvhich will allow the kicker to succeed? 3 m 0 40° 58 m Not to Ecalo

Throwing a football. A quarterback throws a ball with an initial velocity of vo feet per second at an angle  theta with the horizontal. The horizontal distance x in feet that the ball is thrownis modelled by the equation x =vo^2/16 sintheta costheta for a fixed vo find the angle that produces the maximum distance x.

pls answer this 100% corrctly thank you! A small airplane starts flying at a constant speed of 442 km/h on a heading of N72W. A 53 km/h wind is blowing from N41W. Determine the ground velocity of the airplane. Give direction as a quadrant bearing. Include diagram showing the vector addition with your solution.

= 3.98 m to the north, A novice golfer on the green takes three strokes to sink the ball. The successive displacements of the ball are d₁ d₂ = 2.06 m northeast, and d3 = 1.16 m at 30.0° west of south (see the figure below). Starting at the same initial point, an expert golfer could make the hole in what single displacement? magnitude direction WE S m o north of east d₂ d₁ 30.0° dz

9. The displacement vectors A T and B shown in Figure P3.9 both have of magnitudes 3.00 m. The direction of vec- 30.0°. Find gra- tor A is 0 phically (a) А+ В, (Ь) А - В (c) B- A, and (d) A – 2B (Report all angles counterclock- wise from the positivex axis.)

IT.0.0a Given an acceleration vector, initial velocity (uo.Vo), and initial position {xo.yo}, find the velocity and position vectors for t2 0. a(t) = (cos t,5 sin t. (Uo Vo) = (0,5) , (Xo.Yo) = (2.0) What is the velc | vector? v(t) =

Please inlcude the complete and step-by-step soluttion. Thanks!

A sedan travels down and up the valley shown above. Identify the correct pair of velocity and acceleration vectors corresponding to the vehicle at the moment it is at the bottom of the valley. O A +a V O B. + V xid-1916614_1.jpg OC. + V Dxid-1916613_1.jpg OD.

Express the following vector in the form v = v,i+v2j+v3k. 3u - v if u = (2,9, -7) and v = (3, - 9,5)