A projectile is shot at a velocity of # 1 m/s# and an angle of #pi/6 #. What is the projectile's peak height?
Let us consider only the vertical motion of the projectile .Let it's velocity be v then it's velocity along the vertical direction is vsin
The only acceleration along the vertical direction is the acceleration due to gravity g.
At the peak point the velocity of the projectile becomes zero . therefore the final velocity of the projectile is zero .
Let us use the kinematic equation
where u is the initial velocity v is the final velocity and H is the maximum height reached by the projectile .