Final answer:
To calculate the acceleration of the Mamba roller coaster, convert the speeds from mph to m/s, then use the formula a = ∆v/∆t, resulting in an acceleration of 15.215 m/s².
Step-by-step explanation:
To find the acceleration of the Mamba roller coaster at Worlds of Fun which speeds up from 10 mph to 78 mph in 2 seconds, we first need to convert the speeds into meters per second (since the SI unit of acceleration is m/s2). Then, we can use the acceleration formula a = (∆v)/∆t, where a is acceleration, ∆v is the change in velocity, and ∆t is the change in time. Conversion from mph to m/s, 10 mph is approximately 4.47 m/s, and 78 mph is approximately 34.90 m/s. Calculating Acceleration. The change in velocity (∆v) is 34.90 m/s - 4.47 m/s, which equals 30.43 m/s. Since the change in time (∆t) is 2 seconds, the acceleration (a) is 30.43 m/s divided by 2 s, getting a result of 15.215 m/s2. Therefore, the acceleration of the Mamba coaster is 15.215 m/s2.