Two children are throwing a ball back-and-forth straight across the back seat of a car. The ball is being thrown 7 mph relative to the car, and the car is travelling 30 mph down the road.

If one child doesn't catch the ball and it flies out the window, in what direction does the ball fly (ignoring wind resistance)?

Solution: Given that the ball is being thrown 7 mph relative to the car, and the the car is traveling 30 mph down the road.

We have to find direction in which the ball fly.

If θ be the angle or direction, then

tanθ=vx?vy??=307?

Then θ≈13.134°

Hence the direction of the ball is 13.134° to the motion of the car.

Solution : Given that , the ball is being thrown 7 mph relative to the car, and the com is travelling 20 mph down the goad . We have to find direction in which the ball fly. Now . velocity of ball relative to the cars is 7 mob horizontally If the em is moving in moving in toward directions With Speed $30 mph . Then the net speed be : = 1 6 - Ve + Ve so. it is given as : V. = F j + Boi ; where Vx = 30 , Vy = 7 Let I be the direction. Then . tano = vy 7 = Vx 30 or, D = tan-' ~ 13. 134 Hence the ball will move at an angle of 13 .134 with respect to the motion of the car