In order to create a larger induced electric field, one could... change the magnetic field more slowly. use a larger static magnetic field. change the magnetic field more quickly.

change the magnetic field more quickly.

Explanation:

An electric field is defined as a region or an field which surrounds an where it exerts force on all other particles that are charged present in the field or the region.

A magnetic field is defined as the physical field created by a magnet or by a moving charge which creates a force on another moving charge.

The strength of the induced electric field depends on the magnetic field. The change in the magnetic flux induces the electric field. As a result, for creating a larger induced electric field one have change the magnetic field quickly.

a) # buses = 7  

Explanation:

For this exercise we use the kinematic equations, let's find the time it takes to reach the same height

     y =  t - ½ g t²

Let's decompose the speed, with trigonometry

      v₀ₓ = v₀ cos θ

      = v₀ sin  θ

      v₀ₓ = 40 cos 32

      v₀ₓ = 33.9 m / s

      = 40 sin32

      = 21.2 m / s

When it arrives it is at the same initial height y = 0

         0 = ( - ½ gt) t

That has two solutions

       t = 0                    when it comes out

       t = 2 / g       when it arrives

       t = 2 21.2 /9.8

       t = 4,326 s

We use the horizontal displacement equation

       x = vox t

       x = 33.9   4.326

       x = 146.7 m

To find the number of buses we can use a direct proportions rule

    # buses = 146.7 / 20

    # buses = 7.3

    # buses = 7

The distance of the seven buses is

     L = 20 * 7 = 140 m

b) let's look for the scope for this jump

     R = vo2 sin2T / g

     R = 40 2 without 2 32 /9.8

     R = 146.7 m

As we can see the range and distance needed to pass the seven (7) buses is different there is a margin of error of 6.7 m in favor of the jumper (security)