A caris parked on a cliff overlooking the ocean on an incline that makesan angle

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(a) the formula for horizontal displacement in projectile motionis x = v_0 cos(_0) * t here, we first need to find v_0, then we need to find t t is set by the constraint: when the car hits the ocean, the flightis over thus we will find t in (b) and then use it in (a) before we can do (b) we need to know at what velocity the cardeparts from the edge of the cliff; in some other problems that would ne unnecessary, but here welaunch with a velocity at an angle 16 degree below the horizontal therefore, the initial launch velocity has a horizontal AND avertical component and the vertical component is acting as a v_0 in the free fallwhich sets the time constraint for the total motion so ... first, calculate how fast a car gets which starts to roll from restfrom 30m away from the cliff use x= 30 = 1/2 a*t^2 to find the time for this first motion, whichwill determine the v_0 for the second motion second, use that t in v = a*t to determine the cars velocity whenit will have moved the 30m to the edge of th ecliff third: now analyze the triangle which is built by the angle 16degree below the horizontal and the velocity v from the first calculation as the hypotenuse; find thelengths of the two other sides of the triangle - they are the v_0x and v_0y for thefollowing projectile motion fourth, do the free fall for y = 30m = v_y0*t - 1/2 g t^2 to find the new time, th etime of the flight in the air fifth, use that time together with the v_0x in the very firstequation at the top to determine how far from the cliff the car hits the water :o)

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