Constants Part A During a storm, a car traveling on a level horizontal road come

Question

Constants Part A During a storm, a car traveling on a level horizontal road comes upon a bridge that has washed out. The driver must get to the other side, so he decides to try leaping the river with his car. The side of the road the car is on is 23.0 m above the river, while the opposite side is only 1.8 m above the river. The river itself is a raging torrent 69.0 m wide. How fast should the car be traveling at the time it leaves the road in order just to clear the river and land safely on the opposite side? Express your answer with the appropriate units. Vo= 1 Value Units Submit quest Answer Part B What is the speed of the car just before it lands on the other side? Express your answer with the appropriate units. u= 1 Value Units Submit Provide Feedback Next>

Explanation / Answer

Here ,

initial height , h = 23 - 1.8 = 21.2 m

horizontal distance , x = 69 m

a) let the speed needed is u

time taken to fall , t = sqrt(2 * h/g)

t = sqrt(2 * 21.2/9.8)

t = 2.07 s

initial speed needed = x/t

initial speed needed = 69/2.07

initial speed needed = 33.3 m/s

b) let the speed at landing is v

Using third equation of motion

v^2 - 33.3^2 = 2 * 9.8 * 21.2

solving for v

v = 39.1 m/s

the speed with which it lands is 39.1 m/s

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