A plane flying horizontally above Earth’s surface at 184 meters per second drops a crate. The crate strikes the ground 30.0 seconds later. What is the magnitude of the horizontal component of
the crate’s velocity just before it strikes the ground? [Neglect friction.] [1 decimal place, no units]
A soccer player kicks a ball with an initial velocity of 24 meters per second at an angle of 27.° above the horizontal. What is the magnitude of the horizontal component of the ball’s initial velocity? [1 decimal place, no units]
2. Vo = 24m/s @ 27deg,
Xo = hor. = 24cos27 = 21.4m/s.
To find the magnitude of the horizontal component of the crate's velocity just before it strikes the ground, we can use the equation:
Velocity (V) = Distance (d) / Time (t)
We are given that the plane is flying horizontally above the Earth's surface at a velocity of 184 meters per second and the time it takes for the crate to strike the ground is 30.0 seconds.
Since the plane is flying horizontally, the vertical component of the crate's velocity is zero. Therefore, the horizontal component of the crate's velocity is also equal to 184 meters per second.
So, the magnitude of the horizontal component of the crate's velocity just before it strikes the ground is 184 meters per second.