speed and velocity

Question

A particle travels horizontally between two parallel walls separated by 18.4 m. It moves toward the opposing wall at a constant rate of 7.2 m/s. Also, it has an acceleration in the direction parallel to the walls of 1.7 m/s 2 . It hits the opposite wall at a higher point.

a) What will be its speed when it hits the opposing wall? Answer in units of m/s.

b) At what angle with the wall will the particle strike? (Here the angle is between 0 to 90 degrees.) Answer in units of ◦ .

Answer 1

the particle is moving toward the wall and is being deflected at the same time

the time to reach the wall will be 18.4/7.2 =2.56 sec

The direction of the acceleration is not specified but since the ask for how high we will assume it is upward

S=1/2 at^2 t= 2.56 sec from above

s = 0.5X 1.7 m/s 2 x 2.56*2.56 = 5.5 meters

what is the angle ?? tow velocities on x one way the up velocity is 1.7*2.56 = 4.3 m/s

or the arctan of 4.3/7.2 =30.8 degrees