Jacob rides his bike up a large hill. If he is moving at 15 mph at the bottom and slows to 3 mph 2.75 minutes later when he gets to the top, what is the acceleration?

Please show work! Also please answer quick, I have other work to do. Thank you!

Respuesta :

The acceleration when he gets to the top is -0.0325 m/s²

Calculating acceleration

From the question, we are to determine the acceleration when Jacob gets to the top

Using one of the equations of motion, we have that

v = u + at

Where v is the final velocity

u is the initial velocity

a is the acceleration

and t is the time

From the given information,

u = 15 mph = 6.7 m/s

v = 3 mph = 1.34 m/s

t = 2.75 minutes = 165 seconds

Then,

1.34 = 6.7 + a×165

1.34 - 6.7 = 165a

-5.36 = 165a

a = -5.36/165

a = -0.0325 m/s²

NOTE: Negative sign indicates deceleration

Hence, the acceleration when he gets to the top is -0.0325 m/s².

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