What is the distance the projectile lands from the base of the cliff?

In summary, a basketball is thrown off a cliff with a velocity of (30.0, 25.0) m/s and lands on the ground 8.00 s later. In the absence of air resistance, the distance the projectile lands from the base of the cliff can be calculated using the equations found online, with the initial vertical velocity (viy) being 30 m/s and the initial horizontal velocity (vix) being 25 m/s. The given time (t) is 8 seconds. To calculate the distance, the vertical velocity (viy) would be more helpful as it directly relates to the figures given in the attachment.
  • #1
kenji1992
22
0

Homework Statement


A basketball, thrown off a cliff with a velocity of (30.0, 25.0) m/s, lands on the ground 8.00 s later. In the absence of air resistance, what is the distance the projectile lands from the base of the cliff?

Homework Equations



http://www.ux1.eiu.edu/~cfadd/1150/03Vct2D/proj.html
I found these equations online, but I don't know I should use them.

The Attempt at a Solution



viy=30 m/s
vix=25 m/s
t=8 s
d=?
 
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  • #2
Think about what vix and viy mean. How do they relate to the figures given in your attachment? Which one would be more helpful in calculating how far from the base of the cliff the basketball travels in 8 sec.?
 

FAQ: What is the distance the projectile lands from the base of the cliff?

What is 2D Projectile Motion?

2D Projectile Motion refers to the motion of an object that is launched into the air at an angle and experiences a constant force of gravity. In this type of motion, the object moves in both the horizontal and vertical directions simultaneously.

What do you need to know to calculate 2D Projectile Motion?

To calculate 2D Projectile Motion, you need to know the initial velocity, launch angle, and acceleration due to gravity. These parameters can be used to determine the trajectory, time of flight, and maximum height of the projectile.

What is the formula for calculating the range of a projectile?

The formula for calculating the range of a projectile is R = (V0^2 * sin(2θ)) / g, where R is the range, V0 is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

How does air resistance affect 2D Projectile Motion?

Air resistance can affect 2D Projectile Motion by slowing down the projectile and changing its trajectory. This is because air resistance creates a force that acts in the opposite direction of the projectile's motion, causing it to lose speed and change direction.

What are some real-life examples of 2D Projectile Motion?

Some real-life examples of 2D Projectile Motion include throwing a ball, shooting a basketball, or launching a rocket into space. Any object that is thrown, kicked, or launched into the air at an angle experiences 2D Projectile Motion.

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