Question

• Timer Notest ate Feedback Print in d In an action movie, the heroine is supposed to up with a motorcycle from the roof of one skyscraper to another one. The roof of the second skyscraper is the meters lower, and the gap between the buildings is 16 meters wide. Both roofs are horontal and Mat Neglecting a resistance, what minimum in speed would she need to make the jump? Anwwer Tries /10 This discussion is closed. Send Feedback

Answer 1

Let us consider the downwards direction as positive.

Gravitational acceleration = g = 9.81 m/s²

Initial velocity of the heroine on the motorcycle = V

The roofs of the skyscraper are horizontal therefore the initial velocity of the heroine on the motorcycle is horizontal.

Initial horizontal velocity of the heroine on the motorcycle = V_x = V

Initial vertical velocity of the heroine on the motorcycle = V_y = 0 m/s

Height the second skyscraper is lower than the first one = H = 9 m

Time taken for the jump = T

H = V_yT + gT²/2

9 = (0)T + (9.81)T²/2

9 = 4.905T²

T = 1.354 sec

Horizontal distance between the two skyscrapers = D = 16 m

There is no horizontal force acting on the heroine on the motorcycle therefore the horizontal velocity remains constant.

D = V_xT

16 = V(1.354)

V = 11.8 m/s

Minimum initial speed needed to make the jump = 11.8 m/s