Speed/Dist Question: Homework Solutions

• a.k
In summary, Santa arrives at the local mall by helicopter and releases a bag of candy as the helicopter descends at a steady rate of 1.0 m/s. After 3 seconds, the speed of the bag of candy can be calculated using the equation v=v0+gt, resulting in a speed of -30.4 m/s. To determine the distance the bag falls, the equation d=v0t+1/2gt^2 can be used, resulting in a distance of -44.1 m. If the helicopter is departing at a steady rate of 1.0 m/s, the speed and distance of the bag will be the same.
a.k

Homework Statement

Santa arrives at the local mall by helicopter and, as the helicopter steadily descends at 1.0 m/s, he releases a bag of candy to the children waiting below. After 3 seconds:

a. what is the speed of the bag of candy?
b. how far is it below Santa’s helicopter?
c. What are the answers for parts (a) and (b) if Santa’s helicopter is departing, rising steadily at 1.0 m/s?

Homework Equations

For a. v=v0+gt

negative velocity and grav due to descend.

The Attempt at a Solution

a. -1 m/s+(-9.8m/s^2)(3s)
-1+(-29.4)
=-30.4 m/s^2

I need some assistance for the next step...

Do you mean b for the next step? That looks right for the speed of the bag, but check your units. ##\frac{m}{s^{2}}## is a unit of acceleration, not speed. For b you want to calculate the distance the bag falls in that 3 seconds, and then compare that to the location of the helicopter also at 3 seconds.

1. How do I calculate speed?

To calculate speed, you divide the distance traveled by the time it took to travel that distance. The formula for speed is: speed = distance/time.

2. What units are used for speed?

Speed can be measured in a variety of units, such as meters per second (m/s), kilometers per hour (km/h), miles per hour (mph), or feet per second (ft/s). The units you use will depend on the situation and what is most convenient for the given problem.

3. How do I convert between different units of speed?

To convert between different units of speed, you can use unit conversion factors. For example, to convert from km/h to m/s, you can use the conversion factor 1 km/h = 0.277778 m/s. Multiply the speed in km/h by this conversion factor to get the equivalent speed in m/s.

4. How do I solve distance and speed word problems?

To solve distance and speed word problems, it is important to first identify what information is given and what you are trying to find. Then, use the formula speed = distance/time to set up an equation and solve for the unknown variable. It can also be helpful to create a diagram or table to visualize the problem.

5. What is the difference between speed and velocity?

Speed and velocity are often used interchangeably, but they are actually different concepts. Speed is a measure of how fast an object is moving, while velocity is a measure of both speed and direction. This means that an object can have the same speed but different velocities if it is moving in different directions.

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