Question

Bobby has outgrown the bike he rode when he was small. So, for his twelfth birthday, his parents surprise him with a five-speed Blaze Rider 2000! Bobby has never had a bike with multiple speeds before, and he is eager to learn how it works. He starts by testing the middle speed.

There is a proportional relationship between the number of times Bobby pedals, x, and the number of times the wheels rotate, y.​

Answer 1

The initial speed of the motorcycle was calculated using the kinematic equation for uniform acceleration, giving an initial speed of 15 m/s before it accelerated.

Step-by-step explanation:

The initial speed of the motorcycle before acceleration can be determined using the kinematic equation for uniform acceleration:

v = u + at

Where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken to reach the final velocity from the initial velocity. We are given:

• Final velocity (v) = 35 m/s
• Acceleration (a) = 4.0 m/s²
• Time (t) = 5.0 s

Plugging these values into the equation, we get:

35 m/s = u + (4.0 m/s² * 5.0 s)
35 m/s = u + 20 m/s
u = 35 m/s - 20 m/s

u = 15 m/s

Therefore, the initial speed of the motorcycle was 15 m/s.