**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 –ay*t
0 = 14.9 -2*t

T = 7.45 sec

So ux = u0x + ax

*t*

Ux = 7.2 + 4.87.45

Ux = 7.2 + 4.8

Ux = 42.96 m/sec

So final velocity at greatest y co-ordinate u = ux =42.96 m/sec