A cart rolling down an incline for 5.0 seconds has an acceleration of 4.0 m/s. If the cart has a beginning speed of 2.0 m/s, what is its speed?
To find the speed of the cart after rolling down the incline for 5.0 seconds, we can use the kinematic equation:
v = u + at
where:
v = final velocity (speed)
u = initial velocity (speed)
a = acceleration
t = time
Given:
u = 2.0 m/s (initial speed)
a = 4.0 m/s² (acceleration)
t = 5.0 s (time)
Substituting the values into the equation:
v = 2.0 m/s + 4.0 m/s² * 5.0 s
To simplify, multiply the acceleration by the time:
v = 2.0 m/s + 20.0 m/s
Add the initial speed and the product of the acceleration and time:
v = 22.0 m/s
Therefore, the speed of the cart after rolling down the incline for 5.0 seconds is 22.0 m/s.