A car accelerates in the +x direction from rest with a constant acceleration ofa₁ =1.69 m/s² fort₁ = 20 s. At that point, the driver notices a tree limb that has fallen on the road and brakes hard with a constant acceleration ofa₂ =-8.47 m/s². What is an expression in terms of defined quantities, for the car's speed just before the driver begins braking, v1. If the limb is on the road at a distance of 550 meters from where the car begins its initial acceleration, will the car hit the limb?