(a) express the height, h, of the object above the ground as a function of time, t; and (b) use the expression in (a) to find the time the object hits the ground and the velocity with which it strikes the ground.

6. A student measured the horizontal and vertical components of the velocity of a projectile in a laboratory situation. The data is given below. Times and velocities are "true" (not scaled). Time, t(s) 0.10 2.12 0.20 2.12 0.30 2.13 0.40 2.11 0.50 2.12 (a) Plot vertical velocity vs. time. Horizontal velocity, v (m/s) Vertical velocity, v (m/s) 3.58 4.56 5.54 6.52 7.50 PREVIEW (b) Find the slope and y-intercept of your graph. (c) Write an equation specifically describing your graph. (d) On same graph sheet, plot horizontal velocity vs. time. (e) Write an equation specifically describing your second graph.

A truck travels around a circular track. The position of the truck is described by the equations (400 · cos 0) m and 0 = (0.002 · t) rad, where t is in seconds. r = r = f@) Using cylindrical coordinates, a. Determine the truck's radial and transverse components of velocity at t = 4 s, v, and vo. b. Determine the truck's radial and transverse components of acceleration at t = 4 s, a, and ag.

A hot air balloon is moving vertically upwards at a constant rate of 9.0 m/s. As the balloon rises, a package is dropped from the balloon and it takes 5 s to hit the ground. How far did the package fall?   Make sure to include a diagram of the physical situation, label know and unknown quantities with units, coordinate system. Please use grade 12 kinematics and label the variables as v1, v2, a (Acceleration), t (time), d (displacement) Thanks!

I need part d and e

When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v = (0.04s) ft/s² where s is in ft. Take p = 270 ft. ▼ Part A V If he starts at V₁ = 2 ft/s where s = 0 at A, determine the magnitude of his velocity when he reaches B. = Express your answer to three significant figures and include the appropriate units. μÅ Value Units Submit Part B = P 0 O μà 60° Submit Also, what is his initial acceleration? Express your answer to three significant figures and include the appropriate units. Value Units Request Answer P Request Answer ? ?

A group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes 4.00h. Determine the magnitude hikers' velocity for the trip.    4.04 km/h [N 21.8° E]       5.25 km/h [N 21.8° E]       7.25 km/h [N 21.8° E]       21.0 km/h [N 21.8° E]       65.25 km/h [N 21.8° E]

4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24

The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.a) Find an equation v(t) for the object velocity.v(t)v(t) = −8cos(t)−2Correct  b) Find the object's displacement (in meters) from time 0 to time 3.3.4187Incorrect   metersc) Find the total distance traveled by the object from time 0 to time 3.   meters

One of the fastest known animals is the Indian spine-tailed swift. A swift flies 2.80 km due north in a time of 32.8 s. a. What is its average velocity due north in meters per second? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. answer in m/s b. What is its average velocity due north in miles per hour? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. anser in mi/h