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A car starts from rest and after 10 seconds is traveling at 30 m/s. Assuming that it continues to accelerate at the same rate it will take another seconds to reach 60 m/s.

Question

A car starts from rest and after 10 seconds is traveling at 30 m/s. Assuming that it continues to accelerate at the same rate it will take another seconds to reach 60 m/s.

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Solution

The car starts from rest and reaches a speed of 30 m/s in 10 seconds. This means the acceleration (a) is 30 m/s divided by 10 s, which equals 3 m/s² (since acceleration is the change in velocity over time).

If the car continues to accelerate at the same rate (3 m/s²), to reach a speed of 60 m/s, we can use the formula:

v = u + at

where: v = final velocity (60 m/s) u = initial velocity (0 m/s, since the car starts from rest) a = acceleration (3 m/s²) t = time (which we are trying to find)

Substituting the known values into the formula, we get:

60 = 0 + 3t

Solving for t, we get:

t = 60 / 3 = 20 seconds

So, it will take another 20 seconds to reach 60 m/s. However, since the car has already been traveling for 10 seconds to reach 30 m/s, the additional time needed is 20 - 10 = 10 seconds. Therefore, it will take another 10 seconds to reach 60 m/s.

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