Question

A cart is propelled over an xy plane with acceleration components 2  4.0 m / s x a and 2  2.0 m / s y a . Its initial
velocity has components 0  8.0 m / s
x v and 0  12 m / s
y v . In unit-vector notation, what is the velocity of the cart
when it reaches its greatest y coordinate?

Answer 1

Answer:

A cart is propelled over an xy plane with acceleration components

ax=4.0m/s²" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 16px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">ax=4.0m/s²ax=4.0m/s²

and

ay=−2.0m/s²" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 16px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">ay=−2.0m/s²ay=−2.0m/s²

. Its initial velocity has components

v0x=8.0m/s" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 16px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">v0x=8.0m/sv0x=8.0m/s

and

v0y=12m/s" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 16px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">v0y=12m/sv0y=12m/s

. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?

Explanation:

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