A cart is propelled over an xy plane with acceleration components ax = 6.2 m/s2 and ay = - 1.7 m/s2. Its initial velocity has components v0x = 6.8 m/s and v0y = 12.0 m/s. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?

Question

Hurst

Physics

19 August, 03:56

A cart is propelled over an xy plane with acceleration components ax = 6.2 m/s2 and ay = - 1.7 m/s2. Its initial velocity has components v0x = 6.8 m/s and v0y = 12.0 m/s. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?

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Davin Sparks · Answer 1

The velocity of the cart when it reaches its greatest y coordinates is 10.135m/s

Explanation:Vx=0

0=6.8m/s + (6.2m/s^2) t

t=6.8/6.2

t = 1.1secs

Vy = 12m/s + (-1.7m/s^2) t

Vy=12 + (-1.7*1.1)

Vy=12 - 1.865)

Vy=10.135m/s