Question

A train accelerates at a rate of 5 m/s²? How long does it take to reach its top velocity of
90 km/h starting from rest?
7.2. While entering a freeway, a car accelerates​

Answer 1

Given:

• Initial velocity = 0 m/s (starting from rest)
• Final velocity = 90 km/h = 90 × 5/18 = 25 m/s
• Acceleration = 5m/s^2

To Find:

• Time taken to reach its top velocity = ?

Solution:

According to the question we will use motion's formula:

${\quad}{\boxed{\sf{\pmb{\red{v = u + at}}}}}$

Now put the values

$\sf \implies \: 25 = 0 + 5 \times t \\ \\ \sf \implies \: t = \frac{25}{5 } \\ \\ \sf \implies \: t = 5 \: sec$

Hence, time taken to reach on top velocity = 5 sec.

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