A projectile is fird with an inital speed ofv i =20m/s at an angle =30 o with th

Question

A projectile is fird with an inital speed ofvi=20m/s at an angle =30o with thehorizontal. Find a.the values of vxi and vyi. b. The horizontal and vertical components of the velocity whenthe projectile reaches maximum height. c. The time taken by the projectile to reach its maximumheight. d.The maximum height reaached by the particle. e. The total time taken by the projectile to reach the ground(time going up plus time going down) f. Range of projectile A projectile is fird with an inital speed ofvi=20m/s at an angle =30o with thehorizontal. Find a.the values of vxi and vyi. b. The horizontal and vertical components of the velocity whenthe projectile reaches maximum height. c. The time taken by the projectile to reach its maximumheight. d.The maximum height reaached by the particle. e. The total time taken by the projectile to reach the ground(time going up plus time going down) f. Range of projectile b. The horizontal and vertical components of the velocity whenthe projectile reaches maximum height. c. The time taken by the projectile to reach its maximumheight. d.The maximum height reaached by the particle. e. The total time taken by the projectile to reach the ground(time going up plus time going down) f. Range of projectile

Explanation / Answer

a) Vxi = Vi cos = 20 * cos30 = 17.32 m/s     Vyi = Vi sin = 20 sin30 = 10 m/s b) Vx = 17.32 m/s, Vy = 0 m/s c) T = Vxi / g = 17.32 / 9.8 = 1.767 s d) H = Vx2 / 2g = 15.30 m e) T = 2Vx / g = 3.534s f) R = Vi2 sin2 / g = 400 * sin60 / 9.8 =35.34 m

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