Answer:
The cart takes 2 seconds to accelerate from 4.9 m/s to 12.3 m/s at an acceleration of 3.7 m/s².
Step-by-step explanation:
To determine how long it takes for a cart to accelerate from 4.9 m/s to 12.3 m/s at an acceleration rate of 3.7 m/s², we use the formula for uniform acceleration:
v = u + at
Where:
v is the final velocity (12.3 m/s),
u is the initial velocity (4.9 m/s),
a is the acceleration (3.7 m/s²),
t is the time in seconds.
Rearrange the formula to solve for time (t):
t = (v - u) / a
Substitute the given values:
t = (12.3 m/s - 4.9 m/s) / 3.7 m/s²
Calculate:
t = 7.4 m/s / 3.7 m/s² = 2 seconds
The cart takes 2 seconds to accelerate from 4.9 m/s to 12.3 m/s at an acceleration of 3.7 m/s².