53. • a convertible travels down a straight, level road at a
slow speed of 13 km/h. a person in the car throws a ball
with a speed of 3.6 m/s forward at an angle of 30° to the
horizontal. where is the car when the ball lands?

The convertible will be ahead at a distance from its initial position, d = 1.336 m

Explanation:

Given,

The speed of the convertible, v = 13 Km/h

                                                     = 3.61 m/s

A ball thrown with a speed, u = 3.6 m/s

The angle of the velocity of a ball formed with the horizontal, Φ = 30°

The time of flight of the projectile is given by the formula,

                          T = 2u sin Ф / g

                             = 2 x 3.6 x 0.5 / 9.8

                             = 0.37 s

The displacement of the car,

                              d = v x t

                                 = 3.6 x 0.37

                                 = 1.336 m

Hence, the convertible will be ahead at a distance from its initial position, d = 1.336 m