6. See the diagram how the acceleration of an object is changing with time. The object starts from rest at t = 0. Find the displacement of the object at t = 20 s. a (m/s?) 10 (0,0) t (s) -6

A cheetah can reach the top speed of 114 km/h. A cheetah starts from rest and runs 48 m in a straight line, reaching a final speed of 94 km/h. 1. what's the average acceleration during sprint (m/s^2) 2. find displacment at t=3.0 s assuming constant acceleration throughout sprint

A golf ball is dropped from rest from a height of 9.90 m. It hits the pavement, then bounces back up, rising just 6.30 m before falling back down again. A boy then catches the ball when it is 1.40 m above the pavement. Ignoring air resistance, calculate the total amount of time that the ball is in the air, from drop to catch. Number i Units

Problem 3: You throw an object up with a speed of voy = 7 m/s from a height of y = 25 m. %3D Part (a) How long, in seconds, does it take for the object to reach the ground? Numeric : A numeric value is expected and not an expression. %3D

9. Figure 2 below shows the velocity of a particle as a function of time. (a) Find the acceleration for the five one-second periods and plot the acceleration as a function of time. (b) Taking x = 0 at t = 0, find the position of the particle at t 0.5 s, t = 1.0 s, t = 2.0 s, t = 3.0 s, t = 4.0 s, and t 5.0 s and plot the position as a function of time. Look at the slopes of your x vs t curve for the five one-second periods and show that they correspond to the velocities of Fig. 2. 15.0- 10.0 5.0 0.50 1.00 1.50 2.00 2.30 S.00 350 4.50 3.00 -5.0t -ם.םו- Fig 2 -15.0

A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 23.0 m/s, and the distance between them is 55.0 m. After t₁ = 3.00 s, the motorcycle starts to accelerate at a rate of 7.00 m/s². The motorcycle catches up with the car at some time t2. Figure 1 of 1 car motorcycle x(1) car x(1) x(1) BRE car motorcycle motorcycle A time с time time motorcycle x(1) car car LE motorcycle B time D time How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? In other words, find t₂ - t₁. Express the time numerically in seconds using three significant figures. ► View Available Hint(s) VE ΑΣΦ ? t₂-t₁= 1.58 Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Part C How far does the motorcycle travel from the moment it starts to accelerate (at time t₁) until it catches up with the car (at time t₂)? Should you need to use…

Velocity Problem 1. The position of an object is given as a function of time as x(t) = (3.0 m/s)t + (2.0 m/s2)t2. What is the average velocity of the object between t-0.0s and t = 2.0 SP

A particle moves along the x axis according to the equation x = 2.10+ 2.96t - 1.00t2, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 2.90 s. m (b) Find its velocity at t = 2.90 s. m/s (c) Find its acceleration at t = 2.90 s. m/s²

7. A group of students carried out a constant acceleration motion experiment in which they dropped a cart through an inclined plane and managed to collect the data that appear in table # 1. With the information in table # 1, make the graph of average speed vs. time and from the graph determine the acceleration of the cart. t(s) x(cm) 0.00 0.23 15 0.32 30 0.40 45 0.46 60 0.51 75 0.56 90 0.61 105 0.65 120