A body is projected upwards with a velocity of 30 ms -1 at
an angle of 30 degree with the horizontal. Determine (a) the time of flight (b)
the range of the body and (c) the maximum height attained by the body.
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(a)
Time of flight
T = 2uSinθ / g
= 2 × 30 × Sin30 / 10
= 3 seconds
(b)
Range
R = u^2 sin(2θ) / g
= 30^2 × sin(2 × 30) / 10
= 77.94 m
(c)
Maximum height
H = u^2 sin²θ / (2g)
= 30^2 sin²(30) / (2 × 10)
= [900 × (1/4)] / 20
= 11.25 m
Time of flight
T = 2uSinθ / g
= 2 × 30 × Sin30 / 10
= 3 seconds
(b)
Range
R = u^2 sin(2θ) / g
= 30^2 × sin(2 × 30) / 10
= 77.94 m
(c)
Maximum height
H = u^2 sin²θ / (2g)
= 30^2 sin²(30) / (2 × 10)
= [900 × (1/4)] / 20
= 11.25 m
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