X-t plot 140 120 100 y=t + 3t + 2 80 60 40 20 10 12 t (s) The x-t graph of a motion is given. The average acceleration (in m/s?) is (w) x

Some experimental researcher tells us that the position of an object as a function of time is given by x(t) = at3 - bt2 + ct - d, where the constants are a = 3.6 m/s3, b = 4.0 m/s2, c = 60 m/s and d = 7.0 m. Find the average acceleration over the first 2.4 seconds. A) 18 m/s/s B) 54 m/s/s C)36 m/s/s D) 76 m/s/s

For the following function models the position s(t)s(t) of an object moving along a stright line, where tt is in seconds and ss is in meters. s(t)=t2-6t Find the simplified expression for the average velocity from t=7t=7 to t=7+ht=7+h. s(t+h)-s(t)/h=?

Given v(t) = 21 + 20 t, where v is in m/s and t is in s, use calculus to determine the total displacement from t₁ = 1.5 s to t₂ = 3.1 s. Express your answer using two significant figures.

A rock is held steady over a well and dropped. 4.9 seconds later, the sound of the rock hitting water is heard. Sound travels at a constant speed of 337 m/s. How deep is the well?

A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 6.65 ✕ 107 km. Radio waves travel at the speed of light (3.00 ✕ 108 m/s). How many seconds does it take for the signal to reach the Earth?

A car begins at the position x1 = 6.0.m with an initial velocity of 20.4 m/s. If the acceleration of the car is 7.80 m/s^2 find the velocity of the car when it has reached the point x2 = 25.0m in m/s. Just input the number in the answer box, don't input units.

The velocity of a toy car moving along as straight path is shown in the figure. Match the numbers according to the graph. Assume the numbers in the choices are followed by proper units (not shown), i.e., distance in [m], speed or velocity in [m/s], and acceleration in [m/s^2].

The graph below shows the motion of an object. The average speed for the whole journey is 12 m/s. Find the time of acceleration, t, of the object. velocity / m s-1 A 20 ㅇ 20 time / s t O 10 s O 14 s O 12 s O 16 s

The speed of an object as a function of time is given by the following equation: What is the magnitude of the object's acceleration (in m/s2) at t = 5 s? X 32