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Mumz [18]
3 years ago
12

To determine a car's maximum acceleration, you start from rest, press down hard on the accelerator pedal, and time how long it t

akes to get up to 26.8
m/s (about 60 miles per hour). It takes a powerful new electric car only 4.2 s to reach 26.8 m/s. What is the car's acceleration?
The car's acceleration is _____ m/s^2.

Physics
1 answer:
zheka24 [161]3 years ago
7 0

Answer:

6.38 (m/s^2)

Explanation:

Acceleartion is simply Δv/Δt, which we are both given. 26.8/4.2 = 6.38

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An 84.0 kg sprinter starts a race with an acceleration of 1.76 m/s2. If the sprinter accelerates at that rate for 11 m, and then
gulaghasi [49]

Answer:

t=17.838s

Explanation:

The displacement is divided in two sections, the first is a section with constant acceleration, and the second one with constant velocity. Let's consider the first:

The acceleration is, by definition:

a=\frac{dv}{dt}=1.76

So, the velocity can be obtained by integrating this expression:

v=1.76t

The velocity is, by definition: v=\frac{dx}{dt}, so

dx=1.76tdt\\x=1.76\frac{t^{2}}{2}.

Do x=11 in order to find the time spent.

11=1.76\frac{t^2}{2}\\ t^2=\frac{2*11}{76} \\t=\sqrt{12.5}=3.5355s

At this time the velocity is: v=1.76t=1.76*3.5355s=6.2225\frac{m}{s}

This velocity remains constant in the section 2, so for that section the movement equation is:

x=v*t\\t=\frac{x}{v}

The left distance is 89 meters, and the velocity is 6.2225\frac{m}{s}, so:

t=\frac{89}{6.2225}=14.303s

So, the total time is 14.303+3.5355s=17.838s

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