A car comes to a bridge during a storm and finds the bridge washed out. The driv

Question

A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side. So he decides to try leaping it with his car. This side the car is on is 20.5 m above the river, whereas the opposite side is a mere 1.4 m above the river. The river itself is a raging torrent 62.0 m wide. You may want to review. For help with math skills, you may want to review: For general problem-solving tips and strategies for the topic, you may want to view a Video Tutor Solution of Different initial and final heights. How fast should the car be travelling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? What is the speed of the car just before it lands safely on the other side?

Explanation / Answer

The initial vertical velocity of the car=0

Let the time taken by the car to leap across the river be t secs.

Then v=g*t where v is the final vertical of the car.

Horizontal distance covered by the car in this time t=s=u*t where u is the horizontal velocity

i.e. s=u*t=62 eq. 1

Also h=1/2*g*t2

i.e. 20.5-1.4=1/2*9.8*t2

Therefore, t=1.97 secs

From eq. 1 u=62/1.97=31.5 m/s

Also v=g*t=9.8*1.97=19.3 m/s

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