Question

Unimpressed with your previous stunt, the director of the new James Bond movie has come to you with a more exciting idea. In this stunt, Bond will run towards a bridge that is 22m above a river. His partner is in a speedboat 65 meters away from the bridge. Bond jumps horizontally off the bridge with a speed of 6.7 m/s toward where his partner is waiting. Starting from rest, his partner begins racing toward the bridge the moment Bond jumps.

Answer 1

This problem is based on projectile motion and kinematics,

As bond jumps horizontally, there is no vertical component of velocity.

We can find the time in air for Bond.

h_f = h_i + v_yt + 1/2a_yt²

0 = 22 + 0 - 1/2 * 9.8 * t²

t = 2.1189 seconds

distance covered by bond, d = vt

d = 6.7 * 2.1189

d = 14.197 m

Therefore, Bond's partner has only 2.1189 seconds and have a distance of 65 - 14.197 = 50.803 m to catch him.

Using kinematics, we have

d = ut + 1/2at²

as his partner starts from rest, u = 0

so,

d = 1/2at²

a = 2d / t²

a = 2 * 50.803 / 2.1189²

a = 22.63 m/s²