To find the height of the cliff from which
the projectile is launched, we can use the vertical motion equation given the
projectile's initial velocity, launch angle, and time of flight.
Given Data:
Launch angle () = 60°
Initial velocity () = 70 m/s
Time of flight () = 10 s
Acceleration due to gravity () = 10 m/s²
Calculate the Initial Vertical Velocity
The initial vertical velocity ()
can be calculated as follows:
Use the Vertical Motion Equation
The vertical position after time
can be expressed as:
Setting the downward direction as negative
and the height of the cliff as the initial position: