Sage-Tips

At which place does a projectile have the greatest acceleration?

So the acceleration at the highest point is the same as at launch time, i.e. -9.8 meters/sec2 in the vertical direction. If you want to add in the air resistance force at the apogee it would be against the horizontal component of the velocity.

When the projectile is at the same height on the way up and on the way down does it have the same velocity?

Figure 3.14 The speed v of a projectile at a given height above the ground is the same on the upward and downward parts of the trajectory. The velocities are different, however, since they point in different directions.

Where does a projectile have the greatest velocity?

The projectile has only vertical component of velocity at the highest point of its trajectory.

What is the velocity of a projectile at its highest point?

zero
At a projectile’s highest point, its velocity is zero.

How the height on an object thrown upward does affects its free fall motion?

For example, when a ball is thrown up in the air, the ball’s velocity is initially upward. Since gravity pulls the object toward the earth with a constant acceleration g, the magnitude of velocity decreases as the ball approaches maximum height.

What is the horizontal velocity of a projectile?

The horizontal velocity of a projectile is constant (a never changing in value), There is a vertical acceleration caused by gravity; its value is 9.8 m/s/s, down, The vertical velocity of a projectile changes by 9.8 m/s each second, The horizontal motion of a projectile is independent of its vertical motion. In this portion of Lesson 2 you will

When two projectiles have the same initial speed and same range?

When two projectiles are thrown with the same initial speed and they have the same range, then the one thrown with the smaller launch angle with respect to the ground has the shorter flight time. Note: We can denote the two launch angles that have the same range as θ0

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 reaches a maximum height of 233 m (neglecting air resistance).

How do you calculate the range of a projectile over ground?

The range of a projectile over level ground is R = (v 02 sin2θ 0 )/g. To have maximum range for a given initial velocity, her launch angle must be θ 0 = 45 o. The astronaut’s range is R = (v 02 sin2θ 0 )/g’ = v 02 sin90 o /g’ = v 02 /g’.