Chapt. 3 Exercise 3.13 Constants Part A A car comes to a bridge during a storm a

Question

Chapt. 3 Exercise 3.13 Constants Part A A car comes to a bridge during a storm and Snds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car The side the car is on is 224 m above the river, while the opposhe side is a mere 1.3 m above the river. The river itseltf is a raging torrent64.0 m wide How fast should the car be traveling just as t leaves the dit in order just to clear the tiver and land safely on the opposite side? m/s Submit PartB What is the speed of the car just belore tlands safely on the other side? m/s Request Anwwer Provide Feedback

Explanation / Answer

A)

Consider the motion along the vertical direction

Yi = initial position car on one side = 22.4 m

Yf = final position of car on other side = 1.3 m

a = acceleration = - 9.8 m/s2

Voy = initial velocity along Y-direction = 0

t = time of travel

using the equation

Yf =Yi + Voy t + (0.5) a t2

1.3 = 22.4 + 0 t + (0.5) (- 9.8) t2

t = 2.1 sec

Consider the motion along the X-direction

X = width of river = 64 m

v = velocity of car along X-direction = ?

using the equation

X = v t

64 = v (2.1)

v = 30.5 m/s

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