Cheetahs can accelerate to a speed of 20.0 m/s20.0 m/s in 2.50 s2.50 s and can continue to accelerate to reach a top speed of 30.5 m/s30.5 m/s . Assume the acceleration is constant until the top speed is reached and is zero thereafter. Let the +?+x direction point in the direction the cheetah runs.

A penny is dropped from the observation deck of the Empire State building (215.0 m above ground). With what velocity would it strike the ground if air resistance were negligible? Assume the free-fall acceleration g = 9.80 m/s2. Ignore air resistance. If the velocity is downward, enter a negative value and if the velocity is upward, enter a positive value. answer in m/s

1b. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 18.5 m/s. The cliff is h = 20.0 m above a flat, horizontal beach as shown in the figure. What are the components of the initial velocity? v0x =  ____m/s v0y =  ____m/s

A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of a gazelle assumes an acceleration of 4.2 m/s2m/s2 for 6.5 ss , after which the gazelle continues at a steady speed. What is the gazelle's top speed? Express your answer with the appropriate units.   A human would win a very short race with a gazelle. The best time for a 30 mm sprint for a human runner is 3.6 ss. How much time would the gazelle take for a 30 mm race? Express your answer with the appropriate units.   A gazelle would win a longer race. The best time for a 200 mm sprint for a human runner is 19.3 ss. How much time would the gazelle take for a 200 mm race? Express your answer with the appropriate units.

please help with this one!

The acceleration of a bus is given by a, (t) = at, where a = 1.25 m/s³ is a constant. ▾ Part A If the bus's velocity at time ₁1.15 s is 4.90 m/s, what is its velocity at time t₂ = 2.20 s? Express your answer in meters per second. = 7.10 m/s Submit ✓ Correct Correct answer is shown. Your answer 6.78 m/s was either rounded differently or used a different number of significant figures than required for this part. Part B Previous Answers If the bus's position at time ₁ = 1.158 is 6.00 m, what is its position at time (₂2.20 s? Express your answer in meters. ΓΓΙ ΑΣΦ VO z= 7.90 A Submit Previous Answers Request Answer < Return to Assignment P * Incorrect; Try Again; 8 attempts remaining You may have omitted the initial velocity of the bus. Provide Feedback ? m

A model rocket blasts off from the ground, rising straight upward with a constant acceleration that has a magnitude of 79.6 m/s² for 1.82 seconds, at which point its fuel abruptly runs out. Air resistance has no effect on its flight. What maximum altitude (above the ground) will the rocket reach? +y Maximum altitude a2

3. In Physics, the height of a free-falling object at a given time t is given by h = –16t² + v,t + h., where v, is the initial velocity, and h, is the initial height. A student throws a ball upward from a height of 48ft, initially at 32 ft/s. What is the maximum height of the ball?

The acceleration of a bus is given by ax(t) = αt, where α = 1.15 m/s3 is a constant. a. If the bus's velocity at time t1 = 1.05 s is 4.90 m/s, what is its velocity at time t2 = 2.20 s? b. If the bus's position at time t1 = 1.05 s is 6.05 m, what is its position at time t2 = 2.20 s?

A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 6.25 m/s. The car is a distance d away. The bear is 21.3 m behind the tourist and running at 8.64 m/s. The tourist reaches the car safely. What is the maximum possible value for d? Vbear Number i Vtourist Units