A projectile is fired horizontally at an angle of 70° with the speed of 0.11km/s. Find the range and height. The final answer should be in meters. ​

Respuesta :

In the given question projectile is fired horizontally at an angle of 70° with the speed of 0.11km/s ,(=110m/s).

to find the range and height

height=544.66m

time= 10.54 second

range=793.63m

vy=0

h=v^2sin^2θ/ 2g

v=0.11km/s  =110m/s

θ=70°

range=v^2sin2θ/ g

horizontal velocity,

vx= 110cos70=37.622 m/s

vertical velocity,

vy=110sin70=103.36 m/s

using the equation of motion

s=ut+1/2 at^2

range, s=0, t=total time taken

range= 110^2 sin 2*70/9.8

range=793.63m

t= vsinθ/ g

=110 sin 70/9.8

time= 10.54 second

s=(110sin 70)*10.54 +1/2(-9.8)* (10.54^2)

s=1089-544.34

height=544.66m

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