Question

A cyclist accelerates at a rate of 7.0 m/s2. how long will it take the cyclist to reach a speed of 18 m/s?

Answer 1

At constant acceleration  the equation  is

v = u + at     where u = initial speed,  a = acceleration. t = time and v = final speed

So here we have  18 = 0 + 7t

t = 18/7  = 2.6 seconds ( to nearest tenth)

Answer 2

Answer:

2.57 seconds

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Before we can solve this question we need to create a formula that calculates the final speed. The formula will be the following,

$Vf = Vi+7(t)$

Where:

• Vf is the final Velocity
• Vi is the initial velocity
• A is the acceleration
• t is the time in seconds

Now that we have the formula we can plug in the values given to us in the question and solve for the amount of time (t).

$Vf = Vi+7(t)$

$18 = 0+7(t)$

$2.57 = t$

Finally, we can see that it would take the cyclist 2.57 seconds (approximately) to reach a speed of 18 m/s

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