A baseball player hits a triple and ends up on third base. A baseball “diamond” is a square, each side of length 26.689080772396 m, with home plate and the three bases on the four corners. What is the magnitude of his displacement?

(a) Number Type your answer here Units Choose your answer heremsm/sm/s^2N

A diver springs upward from a board that is 4.50 m above the water. At the instant she contacts the water her speed is 13.7 m/s and her body makes an angle of 76.1 ° with respect to the horizontal surface of the water. Determine her initial velocity, both (a) magnitude and (b) direction.

An Olympic long jumper leaves the ground at an angle of 21.4 ° and travels through the air for a horizontal distance of 8.81 m before landing. What is the takeoff speed of the jumper?
Number Type your answer here Units Choose your answer here

No units°smm/sm/s^2

On a distant planet, golf is just as popular as it is on earth. A golfer tees off and drives the ball 4.70 times as far as he would have on earth, given the same initial velocities on both planets. The ball is launched at a speed of 47.6 m/s at an angle of 29 ° above the horizontal. When the ball lands, it is at the same level as the tee. On the distant planet, what are (a) the maximum height and (b) the range of the ball?

A fire hose ejects a stream of water at an angle of 38.7 ° above the horizontal. The water leaves the nozzle with a speed of 27.9 m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire?

An eagle is flying horizontally at 5.8 m/s with a fish in its claws. It accidentally drops the fish. (a) How much time passes before the fish’s speed doubles? (b) How much additional time would be required for the speed to double again?