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Which diver hits first, the one that falls or the one that runs off the high-dive?

Which diver hits first, the one that falls or the one that runs off the high-dive?. Intro to Projectile Motion. 5m. 10m. 15m. 30m. 20m. 25m. V 0x = 10 m/s. +x. +y. 5m. If there was no gravity, where would the ball be at t=1 s?. 10m. x = x 0 +V ox t = 0+10 . 1 = 10 m. 15m.

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Which diver hits first, the one that falls or the one that runs off the high-dive?

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  1. Which diver hits first, the one that falls or the one that runs off the high-dive?

  2. Intro to Projectile Motion 5m 10m 15m 30m 20m 25m V0x = 10 m/s +x +y 5m If there was no gravity, where would the ball be at t=1 s? 10m x = x0+Voxt = 0+10.1 = 10 m 15m at t=2 s? 20m x = x0+Voxt = 0+10.2 = 20 m 25m at t=3 s? 30m x = x0+Voxt = 0+10.3 = 30 m 35m 40m 45m

  3. Intro to Projectile Motion 5m 10m 15m 30m 20m 25m V0x = 10 m/s +x +y 10 m/s 5m But there IS gravity so where is the ball at t = 1 s? 9.8 m/s 10m x = x0+Voxt = 0+10.1 = 10 m What is its velocity at t = 1 s? 15m y = y0+Voyt + ½(a)t2 20m No x acceleration y = 0 +0 + ½(9.8)(1)2 = 4.9 m 25m vx = vox = 10 m/s vy = voy + at This is the same distance it would fall in 1 second if it is dropped. 30m No initial y velocity 35m vy = 0 + 9.8.1 = 9.8 m/s 40m 45m

  4. Intro to Projectile Motion 5m 10m 15m 30m 20m 25m V0x = 10 m/s +x +y 10 m/s 5m Where is the ball at t = 2 s? 9.8 m/s 10m x = x0+Voxt = 0+10.2 = 20 m 15m y = y0+Voyt + ½(a)t2 10 m/s 20m y = 0 +0 + ½(9.8)(2)2 = 19.6 m 19.6 m/s 25m What is its velocity at t = 2 s? 30m vx = vox = 10 m/s 35m vy = voy + at 40m vy = 0 + 9.8.2 = 19.6 m/s 45m

  5. Intro to Projectile Motion 5m 10m 15m 30m 20m 25m V0x = 10 m/s +x +y 10 m/s Where is the ball at t = 3 s? 5m x = x0+Voxt = 0+10.3 = 30 m 9.8 m/s 10m y = y0+Voyt + ½(a)t2 15m y = 0 +0 + ½(9.8)(3)2 = 44.1 m 10 m/s 20m What is its velocity at t = 3 s? 19.6 m/s 25m vx = vox = 10 m/s 30m vy = voy + at 35m vy = 0 + 9.8.3 = 29.4 m/s 40m 10 m/s 45m 29.4 m/s

  6. Intro to Projectile Motion 5m 10m 15m 30m 20m 25m V0x = 10 m/s +x What is the magnitude and direction of the velocity at t = 3 s? +y 10 m/s 5m 9.8 m/s 10m 10 m/s θ 15m 10 m/s 29.4 m/s 20m 19.6 m/s 25m 30m Velocity is always tangent to the parabolic path 35m 40m 10 m/s 45m 29.4 m/s

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