Three projectiles are launched with the same initial speed but with different launch angles, Which projectile will be in the air longest?
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- If a rocket is shot and lands 200m away, how long was it in the air if the initial velocity was 33 m/s and the angle is 75?Lesson: Projectiles If two projectiles have the same size and shape but one is heavier than the other, which will travel further horizontally if they are both launched at the same angle and speed? O The heavy one O They will both be the same O The light one O Not enough information to tellThe initial speed of a tennis ball is 57.5 m/s and the launch angle is ?i = 16°. Neglect air resistance.Question 1) What is the maximum height, h, of the tennis ball? in mQuestione 2) What is the range, R, of the tennis ball? in m info given: what angle results in the greatest height=90 For this 90° angle, the horizontal component of velocity is zero, so the initial velocity is completely in the vertical direction, resulting in greatest height Kato tries substituting ty,max for t, 0 for yi, and h for yf, and gets h = vi2 sin2 ?i 2g When ?i = 90°, sin2 ?i is maximum, so h is maximum what angle results in the maximum horizontal range=45° I substituted 2vi sin ?i g into the expression for the horizontal component of velocity, (vi cos ?i)t, and got R = 2vi2 sin ?i cos ?i g when ?i = 45°, 2?i = 90°, and sin 90° = 1, which is its maximum value.
- 7) A ball is launched upwards from the ground with some initial velocity at an angle of 45° relative to the horizontal. Suppose it travels 30m horizontally before landing again. a) What is its initial launch velocity? b)What is the highest point it reaches?8) A projectile lands at the level from which it was fired. (a) For what initial angle is the horizontal range equal to the maximum height? (b) For what initial angle is the range equal to half the maximum height