Velocity - time home work check

In summary, the conversation discusses a car's motion from 0 to 30m/s in 5 seconds, constant speed of 30m/s for 15 seconds, and then braking to a stop in 10 seconds. The calculated accelerations in each section are 6m/s^2, 0m/s^2, and -3m/s^2 respectively. The distances traveled in each section are 75m, 450m, and 150m. Lastly, it is mentioned that 30m/s is equivalent to 108 km/h.
  • #1
jacknjersey
13
0

Homework Statement



A car accelerates from 0 to 30m s ^-1 in 5.0 seconds, travels at a constant 30m s^-1 for 15.0 seconds and then brakes to a stop in 10.0 seconds.

1) calcualte the acceleration (assumed constant) in each section of the motion.
2) calculate distance travelled
3) what is 30m s^-1 in km/h?

Homework Equations



a= change in velocity / change in time
d(t) = v_0 x t + (a/2)t^2


The Attempt at a Solution



a=(30-0)/5 = 6 m/s
d(t) = 0 x 5 +(6/2_ x 5^2 = 75m

a=(30-30)/15 = 0 m/s^2
d(t) = 30 x 15 + (0/2) x 15^2 = 450m

a=(0-30)/10 = -3m/s^2
d(t) = 30 x 10 + (-3/2) x 10^2 = 150m
 
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  • #2
Looks OK!
 
  • #3
Thanks so much! I'm working so slowly trying to get it right. Thanks again, the feedback is a boost!
 

Related to Velocity - time home work check

1. What is velocity?

Velocity is the measurement of an object's speed and direction. It is a vector quantity, which means it has both magnitude (speed) and direction. It is typically measured in meters per second (m/s) or kilometers per hour (km/h).

2. How is velocity different from speed?

Velocity and speed are often used interchangeably, but they are actually different concepts. Speed is a scalar quantity, meaning it only has magnitude (numerical value) and no direction. Velocity, on the other hand, is a vector quantity and includes both magnitude (speed) and direction.

3. How do you calculate average velocity?

The average velocity is calculated by dividing the total displacement (change in position) by the total time taken. The formula for average velocity is: average velocity = (final position - initial position) / (final time - initial time).

4. Can velocity be negative?

Yes, velocity can be negative. This indicates that the object is moving in the opposite direction of the chosen positive direction. For example, if a car is moving east and then starts moving west, its velocity will be negative.

5. How does acceleration affect velocity?

Acceleration is the rate of change of velocity over time. If an object's velocity is changing, it is accelerating. If the acceleration is in the same direction as the velocity, the object's speed will increase. If the acceleration is in the opposite direction, the object's speed will decrease. Thus, acceleration can either increase or decrease an object's velocity.

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