Question

A girl tried to overthrow gender stereotypes by kicking her stuffed animal across a park with an initial velocity of 25m/s, making an angle of 45 degrees with the horizontal. Upon reaching maximum height, her cat jumped and propelled it further horizontally with a velocity of 15m/s.
Calculate: a) the maximum height
B) the total time of flight
C) total horizontal displacement
D) it's final velocity when it lands

Answer 1

the max height and time in air are the same as if the cat had left it alone.

For the horizontal displacement, figure how long it takes to fall from the max height (1/2 the total air time).

The extra displacement from the cat is the x-velocity * that time.

The final velocity on landing is the vector sum of the initial velocity (downward) + the extra 15 m/s.