Boris the dog is running after a bone, and changes his speed from 1.51.5 m / sm / s to 33 m / sm / s over a period of 1.51.5 seconds in order to get there faster. Calculate Boris' acceleration: 𝑎a==Δ𝑣𝑡tΔv​ Write the equation for acceleration.   𝑚𝑠−1−1.5𝑚𝑠−1ms −1 −1.5ms −1  𝑎a==Substitute known values.   𝑎a== 𝑚𝑠−2ms −2 Solve for Boris' acceleration.

The maximum acceleration of the car is 20 m/s2.Calculate the time taken for the speed of the car to change from 0 m/s to 28 m/s at itsmaximum acceleration.[3 marks]Time taken = sQuestion 1 continues on the next page

The velocity changes from 35m/s to 60m/s in 3 seconds. What is its acceleration?

An object is thrown upward and reaches a height of 45 meters. It had an initial velocity of 30 m/s. What was the acceleration acting on the object?Given: 𝑠=45 ms=45m, 𝑢=30 m/su=30m/sRequired: 𝑎a (acceleration)

To find the acceleration, we need to use the formula for acceleration which is: a = Δv / Δt where: a is acceleration, Δv is the change in velocity, and Δt is the change in time. Step 1: Find the change in velocity (Δv) The change in velocity is the final velocity minus the initial velocity. In this case, the final velocity is 10 m/s and the initial velocity is 25 m/s. So, Δv = vf - vi = 10 m/s - 25 m/s = -15 m/s The negative sign indicates that the velocity is decreasing. Step 2: Find the change in time (Δt) The change in time is given as 5 seconds. Step 3: Substitute Δv and Δt into the acceleration formula a = Δv / Δt = -15 m/s / 5 s = -3 m/s² So, the acceleration of the particle is -3 m/s². The negative sign indicates that the acceleration is directed downwards, opposite to the direction of motion. ####

10. The velocity of an angry badger is given by€v = 2t 2 + 4t − 3 . What is the badger’s positionand acceleration at 3 seconds?