Write down the relationships for finding the
range and time of flight for a projectile fired
with an initial velocity of U and at an angle of
elevation of 0. A body projected upward at an
angle of 30° with the horizontal has an initial
speed of 90 ms. In how many seconds will it
reach the ground? How far from the point of
projection will it strike the ground? At what
angle with the horizontal will it strike?
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Explanation:
Range R = U²sin2O/g
Time of Flight T = 2UsinO/g
T = 2x90x1/2 ÷10 = 9 sec.
R = 90²√3/20 = 405√3 m.
angle with the horizontal = 180° - 30° = 150°
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