An object accelerates at a constant 19.6 m/s2 for exactly 1000 meters from an in

Question

An object accelerates at a constant 19.6 m/s2 for exactly 1000 meters from an initial velocity of 50m/s. When the object has traveled exactly 1000 meters, how fast is it going? Please show all work as there is already the solution on chegg but not all the work is shown. Thank you! An object accelerates at a constant 19.6 m/s2 for exactly 1000 meters from an initial velocity of 50m/s. When the object has traveled exactly 1000 meters, how fast is it going? Please show all work as there is already the solution on chegg but not all the work is shown. Thank you! An object accelerates at a constant 19.6 m/s2 for exactly 1000 meters from an initial velocity of 50m/s. When the object has traveled exactly 1000 meters, how fast is it going? Please show all work as there is already the solution on chegg but not all the work is shown. Thank you!

Explanation / Answer

Given:

a = 19.6 m/s2

Distance S = 1000m

v0 = 50 m/s

We need:

v = ?

Using the kinematic eqn:

v2 = v02 +2aS

=> v2 = (50)2 + (2*19.6*1000)

=> v2 = 41,700

=> v = sqrt(41700)

=> v = 204.2 m/s

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