This problem is asking us to find the horizontal distance traveled by the grains of sand given the magnitude and direction of the initial velocity and the height they fall.
For projectile motion problems in general, we'll follow these steps to solve:
The four UAM (kinematics) equations are:
We define our coordinate system so that the +y-axis is pointing upwards and the +x-direction is horizontal along the launch direction. That means ay = −g, and ax = 0 (because the only acceleration acting on a projectile once it's launched is gravity.)
For projectiles with a negative launch angle, we also need to know how to decompose a velocity vector into its x- and y-components:
Sand moves without slipping at 6.0 m/s down a conveyer that is tilted at 15°. The sand enters a pipe h = 3.6 m below the end of the conveyer belt, as shown in the figure. What is the horizontal distance d between the conveyer belt and the pipe?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Projectile Motion: Horizontal & Negative Launch concept. If you need more Projectile Motion: Horizontal & Negative Launch practice, you can also practice Projectile Motion: Horizontal & Negative Launch practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Griffith's class at MC MARICOPA.