Question

1.

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. The side the car is on is 20.5 mabove the river, whereas the opposite side is a mere 1.5 m above the river. The river itself is a raging torrent 62.0 m wide.

a)

How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side?

b)

What is the speed of the car just before it lands safely on the other side?

2.

A major leaguer hits a baseball so that it leaves the bat at a speed of 33.0 m/s and at an angle of 34.9 ∘ above the horizontal. You can ignore air resistance.

a)

At what two times is the baseball at a height of 10.7 m above the point at which it left the bat?

b)

Calculate the horizontal component of the baseball's velocity at an earlier time calculated in part (a).

c)

Calculate the vertical component of the baseball's velocity at an earlier time calculated in part (a).

d)

Calculate the horizontal component of the baseball's velocity at a later time calculated in part (a).

e)

Calculate the vertical component of the baseball's velocity at a later time calculated in part (a).

f)

What is the magnitude of the baseball's velocity when it returns to the level at which it left the bat?

g)

What is the direction of the baseball's velocity when it returns to the level at which it left the bat?

Answer 1

1.