A projectile is fired with initial velocity 100ms^-1 at an angle of 30 degree with the horizontal. Calculate the time of flight ✈?

1 Answer
Apr 8, 2018

The time of flight is #=10.2s#

Explanation:

Resolving in the vertical direction #uarr^+#

The initial velocity is #u=(100)sin(30^@)ms^-1#

The acceleration due to gravity is #a=-g=-9.8ms^-2#

Apply the equation of motion

#s=ut+1/2at^2#

#s=0m#

Therefore,

#0=100sin30t-1/2*9.8*t^2#

#4.9t^2-100sin30t=0#

#t(4.9t-100sin30)=0#

#t=0# which is the initial conditions

#t=(100sin30)/4.9=10.2s#