A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t) = at^2 -bt^3, where a = 1.50 m/s^2 and b = 0.05 m/s^3. What is the instantaneous acceleration at t = 2 s?

A mountain lion jumps to a height of 2.80 m when leaving the ground at an angle of 43.1°. What is its initial speed (in m/s) as it leaves the ground?  m/s

A car is traveling at a speed of 30 m/s, a typical highway speed, on wet pavement. The driver sees an obstacle ahead and decides to stop. From this instant, it takes him 0.75 s to begin applying the brakes. Once the brakes are applied, the car experiences an acceleration of -6.0 m/s2. How far does the car travel from the instant the driver notices the obstacle until it stops?

The citizen leaves a city at 3:00 p.m. It travels at 36.0 m / s when the engine of its car stops. During the next twelve seconds, the car slows down and its average acceleration is a1. Over the next six seconds, the car slows down even further, and its average acceleration is a2. The speed of the car is 28.0 m / s. The ratio of the average acceleration values ​​is a1 / a2 = 1.50. (a) Find the speed of the car at the end of the initial twelve second interval. (b) Calculate the total distance traveled by the car before stopping.

A car position is. determined by the equation x(t) = 7.45 m/s^3t^3+3.91 m/s^2t^2-21 m/s t+2.17 m. what is the cars acceleration at t = 7s?

Problem 4: A particle moving along a straight path has an acceleration defined by a = 0.6s + 3.6 ft/s², where s is in feet. If the particle's speed is 1.2 ft/s at s = 0, find its speed when s = 8 feet.

The velocity and acceleration of an object at a certain instant are 3 = (3.0 m/s)j ä = (5 m/s²)î At this instant, the object is Ospeeding up and moving in a straight line. speeding up and following a curved path. slowing down and following a curved path. moving with constant speed and following a curved path. slowing down and moving in a straight line.

A particle has a displacement given by the equation x(t) = 3.0 + 2.0t, where x is in meters and t is in seconds. What is the average velocity of the particle between t= 1.0 s and t= 2.0 s? O 19 m/s 9.5 m/s 14 m/s 7.0 m/s

A particle moving along the x axis has acceleration in the x direction as function of the time given by a(t) = 6t²-t. For t=0 the initial velocity is 6.0 m/s. Determine the velocity when t = 1.0 s. Write here your answer. Include the units.

The figure shows an acceleration- time graph of a particle with a starting velocity at 60 m/s and the distance travelled is 200 meters at 10 seconds. Draw the (v-t), and (s-t) graphs of the particle. Determine the total distance travelled and its velocity at 18 seconds. 4m/s? 10s te14s t= 18s Am/s