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harina [27]
3 years ago
15

A car travels in a straight line covering a total distance of 90.0 miles in 60.0 minutes. Which one of the following statements

concerning this situation is necessarily true?
A) The velocity of the car is constant.
B) The acceleration of the car must be non-zero.
C) The first 45 miles must have been covered in 30.0 minutes.
D) The speed of the car must be 90.0 miles per hour throughout the entire trip.
E) The average velocity of the car is 90.0 miles per hour in the direction of motion.
Physics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

E) The average velocity of the car is 90.0 miles per hour in the direction of motion.

Explanation:

Given;

distance covered by the car, d = 90 miles

time taken, t = 60 minutes = 1 hour

The average velocity of the car is given by change in displacement per change in time;

V = Δd / Δt

V = \frac{x_f - x_o}{t_f -t_o} = \frac{90-0}{1-0} \\\\V = 90 \ miles/hour

Therefore, the average velocity of the car is 90.0 miles per hour in the direction of motion.

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a) the maximum speed of the glider

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</span>E=U+K=  \frac{1}{2}kx^2 + \frac{1}{2} mv^2
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x is the displacement of the glider with respect to the spring equilibrium position
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When the glider crosses the equilibrium position, x=0 and the potential energy is zero, so the mechanical energy is just kinetic energy and the speed of the glider is maximum:
</span>E=K_{max} =  \frac{1}{2}mv_{max}^2
<span>Vice-versa, when the glider is at maximum displacement (x=A, where A is the amplitude of the motion), its speed is zero (v=0), therefore the kinetic energy is zero and the mechanical energy is just potential energy:
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Since the mechanical energy must be conserved, we can write
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b) </span><span> the </span>speed<span> of the </span>glider<span> when it is at x= -0.015</span><span>m

We can still use the conservation of energy to solve this part. 
The total mechanical energy is:
</span>E=K_{max}=  \frac{1}{2}mv_{max}^2= 0.36 J
<span>
At x=-0.015 m, there are both potential and kinetic energy. The potential energy is
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d) <span>the </span>acceleration<span> of the </span>glider<span> at x= -0.015</span><span>m

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we have already calculated it at point b), and it is given by
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