A cart is propelled over an xy plane with acceleration components ax = 5.7 m/s2 and ay = -2.8 m/s2. Its initial velocity has components v0x = 8.7 m/s and v0y = 12.5 m/s. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?
at it's greatest y coordinate,y-component of velocity is zero
So it has only x-component of velocity
Hence
Vy = Voy + (ay*t)
0 = 12.5 -(2.8*t)
t = 4.46 sec is the time taken by the cart to reach greatest
y-coordinate
Vx = Vox +(ax*t)
Vx = (8.7)+(5.7*4.46) = 34.12 m/sec
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