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/s2 for 0.70 m as its legs straighten. Legs fully extended, it leaves the ground and rises into the air. a. At what speed does the springbok leave the ground? b. How high does it go?

Dylan and Sophia are walking along Bluebird Lake on a perfectly calm day. Dylan, determined to impress Sophia by his ability to skip rocks, picks up the flattest rock he can find and gives it a sidearm launch from the edge of the water. The rock acquires a completely horizontal speed of 27.2 m/s from a height of 0.54 meters above the water surface. How much time does it take to hit the surface of the water?

A pole-vaulter is nearly motionless as he clears the bar, set 4.2 m above the ground. He then falls onto a thick pad. The top of the pad is 80 cm above the ground, and it compresses by 50 cm as he comes to rest. What is his acceleration as he comes to rest on the pad?

Dr. Liu is learning how to juggle. He tosses a tennis ball (probably bad choice since it is so bouncy) up at 2.5 m/s at a height 1.5 m above the floor and attempts to use the other hand to catch the falling ball. The ball hit the floor at his feet. How long was Dr. Liu's tennis ball in the air (between tossing and landing)? Ignore air drag. He should probably practice tossing his juggling ball at the same height and same speed before attempting to juggle. Hint: You can set the final position to be zero.

A rock is thrown straight up into the air with an initial speed of 85 m/s at time  t = 0.  Ignore air resistance in this problem. At what times does it move with a speed of 13 m/s? Note: There are two answers to this problem.

A block with mass m = 14.9 kg slides down an inclined plane of slope angle 18.8o with a constant velocity. It is then projected up the same plane with an initial speed 2.95 m/s. How far up the incline will the block move before coming to rest?

A person on a trampoline bounces straight upward with an initial speed of 4. 50 m/s. Take up as the positive y direction. What is the person's velocity when she returns to her initial height? -4. 50 m/s O-4. 50 ŷ m/s O+4. 50 m/s O+4. 50 ŷ m/s

A missile silo is used to launch military rockets vertically upward out of the silo, giving the rocket an initial speed of 79.2 m/s at ground level. As the rocket clears the silo, the engines fire, and the rocket accelerates upward at 3.80 m/s2 until it reaches an altitude of 1,140 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of -9.80 m/s?. (You will need to consider the motion while the engine is operating and the free-fall motion separately. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the velocity of the rocket (in m/s) at the end of the engine burn time and also the burn time (in s). (For the velocity, indicate the direction with the sign of your answer.) velocity at end of engine burn time V = m/s engine burn time t = (b) Determine the maximum altitude of the rocket (in m) and the total time (in s) for the rocket to reach this…

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?

I had a dream last night that I was chased by my teddy bear. In my dream, I was sleepwalking at a constant velocity of 60ft/sec. At exactly 4:00 am I noticed my teddy bear standing 1000 feet behind me. At that instant I began to accelerate at 10 ft/sec/sec and the teddy bear began to accerlate after me at 12 ft/sec/sec. At the moment the bear caught up to me, I woke from my dream in a cold sweat. To the nearest second, What time was this?