2 dimensional motion - calculate magnitude of acceleration

In summary, the conversation is about an automobile manufacturer claiming that their product can travel 0.40 km in 9.0 seconds, starting from rest. The question is what is the magnitude of the constant acceleration required to achieve this. After providing the necessary variables, the solution is calculated to be 9.88 m/s2. Possible answers are given and the speaker votes for "a" to be the correct answer.
  • #1
new^2^physics
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0

Homework Statement



an automobile manufacturer claims that its product will, starting from rest, travel 0.40 km in 9.0s. What is the magnitude of the constant acceleration required to do this?

2. The attempt at a solution

Vi = 0 m/s
t = 9.0 s
xi = 0 m
xf = 400 m

xf- xi = Vit + 1/2At2
1/2 A = xf-xi-Vit/t2

400m - 0 - (0)(9)/(92) = 1/2A

a = 9.88 m/s2

POSSIBLE ANSWERS:

a. 9.9 m/s2
b. 8.9 m/s2
c. 6.6 m/s2
d. 5.6 m/s2
e. 4.6 m/s2

My vote is for "a" IS THIS CORRECT? I find physics very difficult and would appreciate any guidance. Thank you very much!
 
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  • #2
I agree, a is the answer.
 

FAQ: 2 dimensional motion - calculate magnitude of acceleration

What is 2 dimensional motion?

2 dimensional motion refers to the movement of an object in two directions, typically represented by the x and y axes on a graph.

How do you calculate the magnitude of acceleration in 2 dimensional motion?

To calculate the magnitude of acceleration, you must first determine the initial and final velocities in both the x and y directions. Then, use the formula a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time. Finally, use the Pythagorean theorem to find the magnitude of acceleration: √(ax² + ay²), where ax is the acceleration in the x direction and ay is the acceleration in the y direction.

What is the difference between scalar and vector quantities in 2 dimensional motion?

Scalar quantities in 2 dimensional motion are measurements that have only magnitude, such as speed or distance. Vector quantities have both magnitude and direction, such as velocity or acceleration.

How does acceleration affect an object's motion in 2 dimensions?

Acceleration can affect an object's motion in 2 dimensions by changing its velocity in either the x or y direction, or both. This can result in a change in the object's speed, direction, or both.

Can the magnitude of acceleration be negative in 2 dimensional motion?

Yes, the magnitude of acceleration can be negative in 2 dimensional motion. This means that the object is slowing down in one or both directions, or changing direction in a way that decreases its speed. However, the magnitude of acceleration itself is always a positive value.

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