Question

1. a car going 50mph accelerates to pass a truck. five seconds later the car is going 80mph. calculate the acceleration of the car. 11. the space shuttle releases a space telescope into orbit around the earth. the telescope goes from being stationary to traveling at a speed of 1700 m/s in 25 seconds. what is the acceleration of the satellite? 12. a ball is rolled at a velocity of 12 m/sec. after 36 seconds, it comes to a stop. what is the acceleration of the ball? 13. a dragster in a race accelerated from stop to 60 m/s by the time it reached the finish line. the dragster moved in a straight line and traveled from the starting line to the finish line in 8.0 sec. what was the acceleration of the dragster?

Explanation:

10.

Step1: Convert mph to m/s

1 mph = 0.44704 m/s. Initial velocity $u$: $50\times0.44704 = 22.352$ m/s, final velocity $v$: $80\times0.44704=35.7632$ m/s, time $t = 5$ s.

Step2: Use acceleration formula

The acceleration formula is $a=\frac{v - u}{t}$. Substitute the values: $a=\frac{35.7632 - 22.352}{5}=\frac{13.4112}{5}=2.68224$ m/s².

Step1: Identify initial and final velocities and time

Initial velocity $u = 0$ (stationary), final velocity $v=1700$ m/s, time $t = 25$ s.

Step2: Apply acceleration formula

Using $a=\frac{v - u}{t}$, substitute the values: $a=\frac{1700-0}{25}=68$ m/s².

Step1: Identify initial and final velocities and time

Initial velocity $u = 12$ m/s, final velocity $v = 0$ m/s, time $t = 36$ s.

Step2: Calculate acceleration

Using the formula $a=\frac{v - u}{t}$, substitute the values: $a=\frac{0 - 12}{36}=-\frac{1}{3}\approx - 0.33$ m/s². The negative sign indicates deceleration.

Answer:

$2.68$ m/s² (rounded to two - decimal places)

11.