A car is \(12 \mathrm{~m}\) from the bottom of a ramp that is \(8.0 \mathrm{~m}\) long at its base and \(6.0 \mathrm{~m}\) high (Figure P3.81). The car moves from rest toward the ramp with an acceleration of

Data from Figure P3.81

magnitude \(2.5 \mathrm{~m} / \mathrm{s}^{2}\). At some instant after the car begins moving, a crate is released from rest from some position along the ramp. The crate and car reach the bottom of the ramp at the same instant and at the same speed.

(a) At what distance \(d\) up the ramp was the crate released?

(b) How many seconds after the car started was the crate released?

6.0 m -8.0 m- -12 m- 2.5 m/s