A cart is propelled over an xy plane with acceleration components ax = 4.8 m/s2 and ay = -2.0 m/s2

initial-velocity
vector-notation

#1

A cart is propelled over an xy plane with acceleration components ax = 4.8 m/s2 and ay = -2.0 m/s2. Its initial velocity has components v0x = 7.2 m/s and v0y = 14.9 m/s. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?

Answer:

Since ay is negative it means it is retardation. so at greatest y co-ordinate vy = 0 so total value of velocity = only value of x component of velocity
Calculate time to at which vy= 0 let its t—
Vy = v0y –ayt
0 = 14.9 -2
t
T = 7.45 sec
So ux = u0x + axt
Ux = 7.2 + 4.8
7.45
Ux = 42.96 m/sec
So final velocity at greatest y co-ordinate u = ux =42.96 m/sec