We know the final velocity, that initial velocity is 0, and the acceleration of the drone. We can find the time it takes to reach its takeoff speed by using the following kinematics formula:

The question asks to point out the false statement. Everything on Earth is accelerated downwards by gravity, all the time, by . Think of gravity as having a negative sign. When the ball is thrown up, acceleration is working against the velocity slowing the ball down. Their signs are opposite. But when the ball is falling back down to Earth, the velocity and acceleration have the same sign. So velocity and acceleration will not always have the same sign.

If gravity could be said to have a negative sign since it pulls everything downward, then an upward velocity would have a positive (and opposing sign). At the top of the trajectory when the ball's upward velocity is finally overcome by gravity, the sign of the velocity becomes negative as it now points back down to Earth. So it is true velocity changes sign at the top.

Since the ball is caught at the same height, both the time up and time down are equal and it will be traveling at the same speed. Since gravity is the only force acting on it, the ball loses all its velocity on the way up and regains that exact amount by the time it reaches the height it started the journey. This also makes the time up equal to the time it falls. If the same force acts with same strength (gravity) the entire time, why would either of these change?

Use one of the kinematic equations. The best way to select the correct one is by process of elimination based on which variables we have or don't. The problem gives us vertical displacement, gravity, and if we look closely, initial velocity (since the stone was "dropped" it equals 0). Based on these we will definitely use one that factors in displacement: 

Note that these kinematic equations normally have an x-variable for displacement, but since our problem has an object falling vertically we use y-variables for consistency.

Plug in given values and solve:

The red term becomes 0 since the initial velocity is 0.

Simplify and solve for t:

We know the initial velocity, the final velocity, and the time it took for the car to stop moving after the brakes were applied. Given the final and initial velocity we can calculate average velocity. Average velocity multiplied by time is equal to the distance traveled.

Since we are given the vertical displacement, acceleration due to gravity, and we know that the final velocity in the y-direction is zero since it will be at the top of its jump. Use the following kinematics formula and solve for the initial velocity.

Plug in known values and solve for initial velocity.

Gravity accelerates everything downward by . When the tomato is thrown upward with some velocity, gravity immediately begins to slowly reduce this velocity since the acceleration opposes the direction of the velocity.

 (initial velocity)

 (final velocity is equal to 0)

In 1.2s the tomato will reach its maximum height. If you have ever thrown a ball upward you may have noticed how it appears to stop at the peak. We have just calculated the time it takes for that ball to appear to stop for a very small time and fall back down. Since our tomato must travel back to Earth, we double the time for its up and down motion (since they equal each other) to get 2.4s as the final answer.

The problem gives us the initial horizontal velocity. This velocity will only affect the distance the ball travels in the horizontal direction; it will have no effect on the time the ball is in the air. Since there is no angle of trajectory, the ball has no initial vertical velocity.

We know the height of the table, the initial velocity, and gravity. Using these values with the appropriate motion equation, we can solve for the time.

The best equation to use is:

We can use our values to solve for the time. Keep in mind that the displacement will be negative because the ball is traveling in the downward direction!

One of the key concepts of parabolic motion in freefall is that the horizontal velocity, , does not change. In order for velocity to change, there must be an acceleration. If an object is accelerating, then there must be a force acting on the object. The only force on the object during freefall is gravity, which acts in the vertical direction and cannot affect the horizontal velocity.

Since our given , our .

In order for us to find the final angle, we need to find the final horizontal and vertical components.

The only force acting on the ball while in the air is gravity. Since gravity acts in the vertical direction, there is no force in the horizontal direction. This means that the horizontal velocity will not change.

The problem states that the initial velocity is only in the horizontal direction; the initial vertical velocity is zero. We now know initial velocity, acceleration, and distance traveled.

Remember, even though the distance it will travel is , its displacement will be  as it moves in the downward direction.

Using these values and the appropriate motion equation, we can solve for the final velocity. The best equation to use is:

Use the given values to find the final velocity.

Now that we know the horizontal and vertical components of the final velocity, we can solve for the angle by considering the components are legs of a right triangle. Using trigonometric identities, we can solve for the angle.

Using our horizontal and vertical velocities, we can calculate the angle.

In order for us to find the final resultant speed, we need to find the final horizontal and vertical components.

The only force acting on the ball while in the air is gravity. Since gravity acts in the vertical direction, there is no force in the horizontal direction. This means that the horizontal velocity will not change.

The problem states that the initial velocity is only in the horizontal direction; the initial vertical velocity is zero. We now know initial velocity, acceleration, and distance traveled.

Remember, even though the distance it will travel is , its displacement will be  as it moves in the downward direction.

Using these values and the appropriate motion equation, we can solve for the final velocity. The best equation to use is:

Use the given values to find the final velocity.

Now that we know the final velocity in both the horizontal and vertical directions, we can use the Pythagorean theorem to solve for the total velocity.