Question

A skateboarder is moving at a velocity of 6.61 m/s when she starts up an incline that causes her to slow down with a constant acceleration of -0.52 m/s². How long does it take her to stop?

a) 12.71 seconds
b) 8.61 seconds
c) 11.34 seconds
d) 13.08 seconds

Answer 1

The skateboarder takes 12.71 seconds to stop.

Step-by-step explanation:

To find the time it takes for the skateboarder to stop, we can use the equation:

v = u + at

Where:

v is the final velocity (which is 0 m/s since the skateboarder stops)

u is the initial velocity (6.61 m/s)

a is the acceleration (-0.52 m/s²)

t is the time it takes to stop (which we need to find)

By substituting the known values into the equation, we can solve for t:

0 = 6.61 + (-0.52)t

-6.61 = -0.52t

t = 12.71 seconds

Therefore, the correct answer is a) 12.71 seconds.