Question

A stone is propelled from a catapult with a velocity of 50m/s and attains a maximum height of 100m. Calculate:The angle of projection, The time of flight, The range attained.

Answer 1

Hey friend here is ur ans

max height =100(given)

u²sin²∅/2g =100

u²sin²∅ =100 *2 *10 ( where g= 10)

50² *sin²∅ =2000

sin²∅ =2000/2500

sin²∅ =4/5

sin∅ =2/√5

then

Time of flight = 2usin∅

= 2 u sin∅

= 2*50*2/10*√5

=20/√5

=4√5 sec

Range = 2 u² sin∅ cos∅/g

= (2*50*50*1/√5*2/√5)/10

=200m

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