the paper delivery boy tires to throw the paper ubti your narrow driveway without slowing down. his pickup truck travels at 10 mph and he throws the paper at 20 mph just as the truck passes the drive way.
a) in what direction should he throw the paper in order for it to land in the driveway?
b)what is the paper's speed relative to the ground?
I have no idea on how to solve this ground. i know it's relative velocity and i tried drawing the picture but i still need help.
for a) i'm guessing he should throw the paper forward because the truck is moving.
For the paper to go through the air perpendicular to the street and the front of the house, it should be thrown backward relative to the car, with a relative velocity of -10 mph. The forward component of motion relative to the car will be
sqrt [(20)^2 - (10)^2] = 17.3 mph
That will also be the speed relative to the ground, since the velocity component in that direction is the same relative to car or ground.
As for the angle it is thrown, relative to the car, it is cos^-1 (-10/20) or 120 degrees off the direction of motion of the car.
a swimer covers ditance d in time t1 in to and rro motion , he travels ditance 2d in still water in time t3 and covers distance d upstream and down stream in t2 prove that squre of t1=t2.t3
To solve this problem, we will first consider the motion of the truck and the paper separately, and then combine their velocities to determine the direction in which the paper should be thrown.
a) Let's start by considering the motion of the truck. The truck is moving at a speed of 10 mph. Since the truck is passing the driveway, the paper delivery boy needs to throw the paper in such a way that its horizontal velocity cancels out the horizontal velocity of the truck. This means that the paper should be thrown backward (opposite direction of the truck's motion) with a velocity equal to the truck's speed. This allows the paper to have a net velocity of zero in the forward direction and fall straight down into the driveway.
b) Now let's examine the paper's speed relative to the ground. The paper delivery boy is throwing the paper (relative velocity) with a speed of 20 mph. Since the truck is moving at 10 mph in the same direction, we can add their velocities to get the paper's speed relative to the ground. So, the paper's speed relative to the ground will be 10 mph + 20 mph = 30 mph.
In summary:
a) The paper should be thrown backward with a velocity equal to the speed of the truck (10 mph).
b) The paper's speed relative to the ground is 30 mph.
To solve this problem, we need to understand the concept of relative velocity. Relative velocity refers to the velocity of an object with respect to another object or reference frame. In this case, we need to consider the velocities of both the truck and the paper relative to the ground.
Let's break down the problem into two parts: A) the direction the paper should be thrown and B) the paper's speed relative to the ground.
A) In what direction should the paper be thrown in order for it to land in the driveway?
To analyze this, we need to understand that the paper's velocity consists of two components: one due to the truck's velocity and another due to the thrower's throw. For the paper to land in the driveway, its horizontal component (velocity in the direction of the driveway) should match the truck's horizontal velocity.
If the truck is moving at a speed of 10 mph, the paper's initial horizontal velocity should also be 10 mph to match the truck's speed. However, since the paper is thrown forward, the thrower should throw it slightly faster than 10 mph to account for the increased velocity provided by the throw. Therefore, the paper should be thrown forward with a velocity slightly greater than 10 mph.
B) What is the paper's speed relative to the ground?
To find the paper's speed relative to the ground, we need to add the velocities of the truck and the paper (resulting from the throw). Since both velocities are in the same direction (forward), we can simply add their magnitudes.
The truck's velocity is 10 mph, and the thrower throws the paper at a speed of 20 mph. Therefore, the paper's speed relative to the ground is the sum of these velocities: 10 mph (truck) + 20 mph (throw) = 30 mph.
So, the paper should be thrown slightly faster than 10 mph in the forward direction to land in the driveway, and its speed relative to the ground is 30 mph.