A springbok is an antelope found in southern Africa that gets its name from its remarkable jumping ability. When a springbok is startled, it will leap straight up into the air—a maneuver called a "pronk." A particular springbok goes into a crouch to perform a pronk. It then extends its legs forcefully, accelerating at 35 m/s for 0.70 m as its legs straighten. Legs fully extended, it leaves the ground and rises into the air. 2 a. At what speed does the springbok leave the ground? b. How high does it go?

A flea jumps by rapidly extending its hind legs. An angle of 20°is typical. The flea’s body reachesa takeoff speed of 1.3 m/s over a distance of 1.0 mm. How long does the jump last?

Your brother slides his glass of milk horizontally at a speed m of 0.8 at a frictionless table which is 1.3 m tall. You tried to catch it but missed such that the glass followed a curved path before it crashed on the floor. How far away from the edge of the table did the glass hit the floor?

Frogs, with their long, strong legs, are excellent jumpers. And thanks to the good folks of Calaveras County, California, who have a jumping frog contest every year in honor of a Mark Twain story, we have very good data as to just how far a determined frog can jump. The current record holder is Rosie the Ribeter, a bullfrog that made a leap of 2.2 m from a standing start. This compares favorably with the world record for a human, which is a mere 3.7 m. Typical data for a serious leap by a bullfrog look like this: The frog goes into a crouch, then rapidly extends its legs by 15 cm as it pushes off, leaving the ground at an angle of 30° to the horizontal. It’s in the air for 0.49 s before landing at the same height from which it took off. Given this leap, what is the acceleration while the frog is pushing off? How far does the frog jump?

You can perform a popular trick by dropping any peso bill (Ex. 500 peso bill )lengthwise through the thumb and forefinger of a classmate. Tell your classmate to grab the peso bill as fast as possible and he/she can keep the money if he/she catches it. The length of the peso bill is 15.7 cm and the average human reaction time is about 0.20 s. Will your classmate catch the bill and keep the money?

Professional golfers can drive the ball over 200 m. While air resistance is significant, its effects are nearly canceled because lift is gained from backspin on the ball, and so a reasonable description of the ball’s trajectory is obtained if air resistance is neglected. Suppose a golfer hits a ball 200 m on level ground, giving it an initial velocity at an angle of 45o. The duration of the impact of the club and ball has been measured to be 1.00 ms. a) Calculate the velocity of the ball just after it is struck b) What is the 0.0450 kg ball's change in momentum?

During your summer internship for an aerospace company, youare asked to design a small research rocket. The rocket is to be launchedfrom rest from the earth’s surface and is to reach a maximum height of960 m above the earth’s surface. The rocket’s engines give the rocket anupward acceleration of 16.0 m/s2 during the time T that they fire. After theengines shut off, the rocket is in free fall. Ignore air resistance. What mustbe the value of T in order for the rocket to reach the required altitude?

Julie is an avid skydiver. She has more than 300 jumps under her belt and has mastered the art of making adjustments to her body position in the air to control how fast she falls. If she arches her back and points her belly toward the ground, she reaches a terminal velocity of approximately 120 mph (176 ft/sec). If, instead, she orients her body with her head straight down, she falls faster, reaching a terminal velocity of 150 mph (220 ft/sec). Since Julie will be moving (falling) in a downward direction, we assume the downward direction is positive to simplify our calculations. Julie executes her jumps from an altitude of 12,500 ft. After she exits the aircraft, she immediately starts falling at a velocity given by v(t) = 32t. She continues to accelerate according to this velocity function until she reaches terminal velocity. After she reaches terminal velocity, her speed remains constant until she pulls her ripcord and slows down to land. On her first jump of the day, Julie orients…

A marble rolls off the edge of a tabletop and then lands on the floor 80 cm away from the base of the table. If the table is 1.20 m high, what is the initial velocity of the ball?

A shot putter launches a 7.260 kg shot by pushing it along a straight line of length 1.650 m and at an angle of 34.10° from the horizontal, accelerating the shot to the launch speed from its initial speed of 2.500 m/s (which is due to the athlete’s preliminary motion).The shot leaves the hand at a height of 2.110 m and at an angle of 34.10, and it lands at a horizontal distance of 15.90 m.What is the magnitude of the athlete’s average force on the shot during the acceleration phase? (Hint: Treat the motion during the acceleration phase as though it were along a ramp at the given angle.)