Question
A body is projected at an angle of 30degree to the horizontal with a velocity of 150metre per seconds.Calculate the time it takes to reach the greatest height,take g=10metre per seconds square and neglect air resistance.
Answers
v = Vi - g t
here Vi = 150 sin 30 = 75 m/s
at top v = 0
0 = 75 - 10 t
solve for t at top
t = 7.5 seconds
then if they ask for the height
h = (1/2) g t^2 to fall from top
= 5 * (7.5)^2
then if they ask for range
u = 150 cos 30
range = u t = 150 cos 30 * 7.5 * 2
the 2 is because t is only the upward half of the parabola
here Vi = 150 sin 30 = 75 m/s
at top v = 0
0 = 75 - 10 t
solve for t at top
t = 7.5 seconds
then if they ask for the height
h = (1/2) g t^2 to fall from top
= 5 * (7.5)^2
then if they ask for range
u = 150 cos 30
range = u t = 150 cos 30 * 7.5 * 2
the 2 is because t is only the upward half of the parabola
Another answer
Thanks it is very explanatory
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