Question 5: The position of a crate sliding down a ramp is given by x= (0.25t) m, y= (1.5t) m, z= (6- 0.752) m, where t is in seconds. Determine the magnitude of the crate's velocity and acceleration when t 2 sec.

A car traveling with an initial velocity of 23.67 m/s to the east, sees a wall 78.64 meters to its east. It applies the break and slows down with an acceleration of 3.29 m/s2 to the west. How fast is the car in m/s when it hits the wall? Express the answer rounded off with 2 decimal places. Do not include the unit.

A gnat takes off from one end of a pencil and flies around erratically for 3 s, seats on a wall for 2.4 s,  and continues flying for the next 1.1 seconds before landing on the other end of the same pencil.  If the gnat flew a total distance of 2.6 m, and the pencil is 9 cm long, find the magnitude of the gnat's average velocity.           Answer units

pls help solve this problem

Question 7. A car drives horizontally off the edge of a cliff that is 68.3 m high. The police at the scene of the accident note that the point of impact is 153 m from the base of the cliff. How fast was the car traveling when it drove off the cliff? Ans: 40.98 m/s ic ambuba inajeni noTER m

A cart is propelled over an its greatest y coordinate? xy plane with acceleration components a, = 6.8 m/s? and a, = -1.5 m/s2. Its initial velocity has components Vox = 7.3 m/s and voy = 12.4 m/s. In unit-vector notation, what is the velocity of the cart when it reaches Number Units

A skydiver falls d1=355m in t1=8.7s before opening her parachute. After the chute opens, she falls an additional d2=780m in t2=116s. Calculate the skydiver’s average speed, v avg in meters per second, during the entire fall.

A motorist drives south at 10.0 m/s for 3.00 min, then turns west and travels at 15.0 m/s for 2.00 min, and finally travels northwest at 20.0 m/s for 1.00 min. For this 6.00-min trip, find the average velocity. Let the positive x axis point east.

The acceleration of a crate sliding down a ramp is given by ax = (0.25t²) m/s² and ay = (1.5t³) m/s?, where t is in seconds. When t = Os, vx= 3 m/s and vy = 4 m/s. Determine the magnitude of the crate's velocity when t = 2 s.

(a) Calculate the height (in m) of a cliff if it takes 2.30 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.07 m/s. (Enter a number.) m (b) How long (in s) would it take to reach the ground if it is thrown straight down with the same speed? (Enter a number.) s †