Does it take longer for the ball to rise to its maximum height or to fall from its maximum height back to the height from which it was thrown justify your answer?

The answer is: Down. Only if there was no air resistance would the up and down times be the same.

Why does a ball take longer to go down than up?

While coming down, the force of air drag is upward and the force of gravity is downward, so the ball’s downward acceleration has average magnitude less than g, say adown < g. . As aup > adown, so tdown > tup , thus it takes longer coming down.

What happens to a projectile at maximum height?

The maximum height of a object in a projectile trajectory occurs when the vertical component of velocity, vy , equals zero. As the projectile moves upwards it goes against gravity, and therefore the velocity begins to decelerate.

How long does it take to reach the maximum height?

Determine how high the projectile traveled above its initial height by using the following formula where V is the initial vertical velocity and T is the time it takes to reach its peak: Height = V * T +1/2 * -32.2 ft/s^2 *T^2 For example, if you had an initial vertical velocity of 32.14 ft/s and a time of one second.

What is the vertical speed at the maximum height?

When a projectile reaches maximum height, the vertical component of its velocity is momentarily zero (vy = 0 m/s). However, the horizontal component of its velocity is not zero.

How do you find the maximum vertical height?

h = v 0 y 2 2 g . h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.

What happens to the vertical velocity as an object rises?

(c) The velocity in the vertical direction begins to decrease as the object rises; at its highest point, the vertical velocity is zero. As the object falls towards the Earth again, the vertical velocity increases again in magnitude but points in the opposite direction to the initial vertical velocity.

Why does the rise and fall of an object take longer?

So the rise takes the same time as the fall. In an atmosphere, the final velocity is lower than the projection velocity due to energy losses because of friction. So the return journey has a slower average velocity, and a longer time.

What is the maximum height a projectile can reach?

Note also that the maximum height depends only on the vertical component of the initial velocity, so that any projectile with a 67.6 m/s initial vertical component of velocity will reach a maximum height of 233 m (neglecting air resistance).

How does mass affect the escape velocity of a rocket?

Escape velocity refers to this case, not a powered rocket. Incidentally the mass of the ball does not effect the escape velocity if there is no atmospheric friction, which means that an elephant and a mouse would both have to be given the same escape velocity if launched from the surface of the moon!